leanified/CoreReader/Agency.lean

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Philosophy 0.1.4 · considered Core 0.1.4. This view uses the repository’s public target catalog, readers and Lean files. Presentation does not change their judgments.

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LeanLine explanation

L1import CoreReader.Reflexivity

Imports CoreReader.Reflexivity and its dependencies into this module.

L3namespace CoreReader.Agency

Opens namespace CoreReader.Agency; file boundaries do not change declaration identity.

L5inductive FormKind | organization | method | principle | appearance | artifact

Defines exactly five form tags; their names carry no additional semantics.

L6  deriving DecidableEq, Repr

Generates decidable equality and display instances for the preceding datatype.

L8structure Form where

A form is a kind tag and a natural-number version.

L9  kind : FormKind

Stores whether this form is an organization, method, principle, appearance or artifact.

L10  version : Nat

Stores a natural-number form version; it does not prove any change occurred.

L11  deriving DecidableEq, Repr

Generates decidable equality and display instances for the preceding datatype.

L13inductive Aim | expandUnderstandingAndConstruction | preserveSafeOperation

Defines two aim tags: expanding understanding/construction and preserving safe operation; the datatype alone does not value either aim.

L14  deriving DecidableEq, Repr

Generates decidable equality and display instances for the preceding datatype.

L16/- A policy records an adopted valuation, current forms, and permission. It does not assert that valuation is correct or enacted. -/

Documents the following definition or result: A policy supplies four unrelated predicate fields; no law ties version permission to valuation or revisability.

L17structure Policy where

A policy supplies four unrelated predicate fields; no law ties version permission to valuation or revisability.

L18  worthPursuing : Aim → Prop

Specifies which of the two represented aims this policy regards as worth pursuing.

L19  current : Form → Prop

Specifies the form kind/version pairs currently held by this policy.

L20  revisable : Form → Prop

Specifies which form kind/version pairs this policy leaves revisable.

L21  permitsVersion : Nat → Nat → Prop

Specifies permission between version numbers independently of actual execution.

L23/- The normative specification keeps valuation and revisability separate from realized transitions. -/

Documents the following definition or result: A policy satisfies this predicate when it values the designated expansion aim and declares every current form revisable. This states no actual progress condition.

L24/-- organon-map CoreReader.Agency.Generative

Opens provenance metadata binding CoreReader.Agency.Generative to the following source references; this metadata is not a proof premise.

L25organon.charter.overview#p2 sha256 75d7d941d3c07ea748c4a9261d36a75fbd5664ff9c817c4034a9a36a3a12664c

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L26organon.charter.overview#p3 sha256 75d7d941d3c07ea748c4a9261d36a75fbd5664ff9c817c4034a9a36a3a12664c

Records source reference organon.charter.overview#p3 with content digest 75d7d941d3c07ea748c4a9261d36a75fbd5664ff9c817c4034a9a36a3a12664c; matching a digest establishes source identity, not semantic fidelity.

L27organon.charter.self-transcendence#p1 sha256 f4ca590e2ae15e3882f70c7b2bc46a8911c97cee547c8b137b5493fbf862c8c0

Records source reference organon.charter.self-transcendence#p1 with content digest f4ca590e2ae15e3882f70c7b2bc46a8911c97cee547c8b137b5493fbf862c8c0; matching a digest establishes source identity, not semantic fidelity.

L28organon.charter.self-transcendence.orientation#p1 sha256 7f9b85c0816b3d69e417cf3cbe17b7b59931388f84d799ce6730c998037358bf

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L29organon.charter.self-transcendence.non-finality#p1 sha256 4ae4497523e79e0606ab3849c47b6ea16f8888a952e063e6966eb36b750f3df8

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L30organon.charter.self-transcendence.limits#p1 sha256 6dade83f0b7fcc004bdb37b6726c15b31b06a377de4e86d506c9d2e67847029d

Records source reference organon.charter.self-transcendence.limits#p1 with content digest 6dade83f0b7fcc004bdb37b6726c15b31b06a377de4e86d506c9d2e67847029d; matching a digest establishes source identity, not semantic fidelity.

L31organon.charter.self-transcendence.limits#p2 sha256 6dade83f0b7fcc004bdb37b6726c15b31b06a377de4e86d506c9d2e67847029d

Records source reference organon.charter.self-transcendence.limits#p2 with content digest 6dade83f0b7fcc004bdb37b6726c15b31b06a377de4e86d506c9d2e67847029d; matching a digest establishes source identity, not semantic fidelity.

L32-/

Closes the preceding documentation/provenance comment; it adds no executable code.

L33def Generative (p : Policy) : Prop :=

A policy satisfies this predicate when it values the designated expansion aim and declares every current form revisable. This states no actual progress condition.

L34  p.worthPursuing .expandUnderstandingAndConstruction ∧

Requires this policy to value expanding understanding and construction.

L35    ∀ f, p.current f → p.revisable f

Requires every form currently held by this policy to remain revisable.

L37def openPolicy : Policy where

Constructs a policy valuing both aims, selecting version zero, and permitting every revision and version pair.

L38  worthPursuing a := a = .expandUnderstandingAndConstruction ∨ a = .preserveSafeOperation

Values both expansion and preserving safe operation in openPolicy.

L39  current f := f.version = 0

Treats precisely version-zero forms as current, regardless of kind.

L40  revisable _ := True

Allows revision of every form, including forms not currently held.

L41  permitsVersion _ _ := True

Permits every pair of version numbers; this does not execute a change.

L43def neutralPolicy : Policy := { openPolicy with worthPursuing := fun _ => False }

Copies the open policy but makes every aim unworthy of pursuit; the permission fields are unchanged.

L45/- Permitting a real version change does not supply an adopted value position. -/

Documents the following definition or result: Shows permission for version 0 to 1 and distinct versions coexist with failure of the generation predicate.

L46/-- organon-map CoreReader.Agency.permissionNotValuation

Opens provenance metadata binding CoreReader.Agency.permissionNotValuation to the following source references; this metadata is not a proof premise.

L47organon.charter.self-transcendence.orientation#p1 sha256 7f9b85c0816b3d69e417cf3cbe17b7b59931388f84d799ce6730c998037358bf

Records source reference organon.charter.self-transcendence.orientation#p1 with content digest 7f9b85c0816b3d69e417cf3cbe17b7b59931388f84d799ce6730c998037358bf; matching a digest establishes source identity, not semantic fidelity.

L48-/

Closes the preceding documentation/provenance comment; it adds no executable code.

L49theorem permissionNotValuation :

Shows permission for version 0 to 1 and distinct versions coexist with failure of the generation predicate.

L50    neutralPolicy.permitsVersion 0 1 ∧ (0 : Nat) ≠ 1 ∧ ¬ Generative neutralPolicy := by

States that neutralPolicy permits 0→1, the versions differ, and its missing valuation defeats Generative.

L51  simp [neutralPolicy, openPolicy, Generative]

Unfolds the two policies: permission is true, 0≠1 computes true, and the required valuation is false.

L53/- This is an explicit consequence of the adopted specification, not evidence of actual revision. -/

Documents the following definition or result: Extracts revisability of a specified current kind/version from an assumed generation predicate; it does not revise that form.

L54/-- organon-map CoreReader.Agency.revisabilityCovers

Opens provenance metadata binding CoreReader.Agency.revisabilityCovers to the following source references; this metadata is not a proof premise.

L55organon.charter.self-transcendence.non-finality#p1 sha256 4ae4497523e79e0606ab3849c47b6ea16f8888a952e063e6966eb36b750f3df8

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L56organon.relationships.terms#p1 sha256 0d22f818e4466a5ab4272607ac0ab26997270cf05c64ce9ac547e866068907d1

Records source reference organon.relationships.terms#p1 with content digest 0d22f818e4466a5ab4272607ac0ab26997270cf05c64ce9ac547e866068907d1; matching a digest establishes source identity, not semantic fidelity.

L57-/

Closes the preceding documentation/provenance comment; it adds no executable code.

L58theorem revisabilityCovers (p : Policy) (h : Generative p) (k : FormKind) (v : Nat)

Extracts revisability of a specified current kind/version from an assumed generation predicate; it does not revise that form.

L59    (hc : p.current ⟨k, v⟩) : p.revisable ⟨k, v⟩ := h.2 _ hc

Uses h's revisability clause on the same kind/version form that hc identifies as current.

L61inductive Operation | copy | successor

Defines the only two encoded operations: identity and successor on natural numbers.

L62  deriving DecidableEq, Repr

Generates decidable equality and display instances for the preceding datatype.

L64def Operation.run : Operation → Nat → Nat

Interprets an operation as a function on natural numbers.

L65  | .copy, n => n

Executing copy returns its input unchanged.

L66  | .successor, n => n + 1

Executing successor returns the input plus one.

L68inductive InventoryKind | document | term | tool | artifact

Defines four inventory tags whose operational content is stored separately.

L69  deriving DecidableEq, Repr

Generates decidable equality and display instances for the preceding datatype.

L71structure Item where

An inventory item consists of a tag and one of the two operations.

L72  kind : InventoryKind

Classifies this inventory item as a document, term, tool or artifact.

L73  content : Operation

Records the operation represented by this item, independently of its category.

L74  deriving DecidableEq, Repr

Generates decidable equality and display instances for the preceding datatype.

L76/- Available represented operations are the contents present, not their number of occurrences. -/

Documents the following definition or result: Availability means that some item in the supplied list has exactly the requested operation as its content.

L77def Available (xs : List Item) (op : Operation) : Prop :=

Availability means that some item in the supplied list has exactly the requested operation as its content.

L78  ∃ item ∈ xs, item.content = op

An operation is available exactly when some listed item contains that operation.

L80/- Duplicating any inventory category preserves exactly the represented operation content. -/

Documents the following definition or result: Proves that duplicating a uniformly tagged list of operations does not change which operations are available.

L81/-- organon-map CoreReader.Agency.inventoryNotCapability

Opens provenance metadata binding CoreReader.Agency.inventoryNotCapability to the following source references; this metadata is not a proof premise.

L82organon.grounds.capabilities#p1 sha256 7249f6f2ef327baaa72349cae53b9245f23a34436356dd05f3c6005cab35e8f0

Records source reference organon.grounds.capabilities#p1 with content digest 7249f6f2ef327baaa72349cae53b9245f23a34436356dd05f3c6005cab35e8f0; matching a digest establishes source identity, not semantic fidelity.

L83organon.grounds.capabilities#p2 sha256 7249f6f2ef327baaa72349cae53b9245f23a34436356dd05f3c6005cab35e8f0

Records source reference organon.grounds.capabilities#p2 with content digest 7249f6f2ef327baaa72349cae53b9245f23a34436356dd05f3c6005cab35e8f0; matching a digest establishes source identity, not semantic fidelity.

L84-/

Closes the preceding documentation/provenance comment; it adds no executable code.

L85theorem inventoryNotCapability (kind : InventoryKind) (ops : List Operation) (op : Operation) :

Proves that duplicating a uniformly tagged list of operations does not change which operations are available.

L86    Available ((ops.map fun x => Item.mk kind x) ++ (ops.map fun x => Item.mk kind x)) op ↔

Tests availability after duplicating the list of items built from ops and the fixed category.

L87      Available (ops.map fun x => Item.mk kind x) op := by

Compares it with availability in the original single copy of that same list.

L88  simp only [Available, List.mem_append]

Expands availability and turns membership in the duplicated list into membership in either copy.

L89  constructor

Proves both directions: duplication neither adds nor removes represented operations.

L90  · rintro ⟨x, hx | hx, hop⟩ <;> exact ⟨x, hx, hop⟩

An item found in either copy is already an original-list witness for the same operation.

L91  · rintro ⟨x, hx, hop⟩

For the reverse direction, take an original item x with membership hx and matching content hop.

L92    exact ⟨x, Or.inl hx, hop⟩

Places that same item in the first copy, preserving its matching operation.

L94structure State where

A state is five lists; understanding and construction are represented only by membership in the two-operation datatype.

L95  understood : List Operation

Lists operations represented as understood in this state.

L96  constructed : List Operation

Lists operations represented as constructed in this state.

L97  inventory : List Item

Stores inventory items; their multiplicity is distinct from capability membership.

L98  abstractionLayers : List Operation

Stores abstraction-layer entries without identifying their count with understanding.

L99  vocabulary : List Operation

Stores vocabulary entries without identifying their count with constructed capability.

L100  deriving DecidableEq, Repr

Generates decidable equality and display instances for the preceding datatype.

L102/- A gain must identify an operation newly understood or constructed; this is a disclosed finite capability representation. -/

Documents the following definition or result: Expansion is the appearance of at least one previously absent operation in either understanding or construction. It allows losing other operations.

L103def Expanded (before after : State) : Prop :=

Expansion is the appearance of at least one previously absent operation in either understanding or construction. It allows losing other operations.

L104  (∃ op, op ∈ after.understood ∧ op ∉ before.understood) ∨

Expansion may be witnessed by an operation understood after the change but not before.

L105  (∃ op, op ∈ after.constructed ∧ op ∉ before.constructed)

Alternatively, a newly constructed operation witnesses expansion.

L107def baseState : State :=

Constructs a state with only copy in every operation list and one copy artifact.

L108  ⟨[.copy], [.copy], [⟨.artifact, .copy⟩], [.copy], [.copy]⟩

The baseline understands and constructs copy, with one copy artifact, layer and vocabulary entry.

L110def inflatedState : State :=

Constructs a larger inventory/layer/vocabulary state with unchanged understanding and construction.

L111  { baseState with

Starts from baseState, retaining fields unless explicitly overwritten below.

L112    inventory := baseState.inventory ++ baseState.inventory

Duplicates the one-item inventory while leaving understood and constructed operations unchanged.

L113    abstractionLayers := [.copy, .copy]

Replaces one abstraction-layer entry with two copies of copy.

L114    vocabulary := [.copy, .copy] }

Similarly doubles the vocabulary list; no new operation is introduced.

L116def stableTrace (_time : Nat) : State := baseState

Returns the same base state at every natural-number time.

L118/- A revisable policy can govern an unchanged trace; no improvement is hidden in revisability. -/

Documents the following definition or result: Exhibits a policy meeting the generation interface and universal revisability while its independently chosen constant trace never expands.

L119/-- organon-map CoreReader.Agency.revisionWithoutProgress

Opens provenance metadata binding CoreReader.Agency.revisionWithoutProgress to the following source references; this metadata is not a proof premise.

L120organon.charter.self-transcendence.non-finality#p1 sha256 4ae4497523e79e0606ab3849c47b6ea16f8888a952e063e6966eb36b750f3df8

Records source reference organon.charter.self-transcendence.non-finality#p1 with content digest 4ae4497523e79e0606ab3849c47b6ea16f8888a952e063e6966eb36b750f3df8; matching a digest establishes source identity, not semantic fidelity.

L121organon.relationships.terms#p1 sha256 0d22f818e4466a5ab4272607ac0ab26997270cf05c64ce9ac547e866068907d1

Records source reference organon.relationships.terms#p1 with content digest 0d22f818e4466a5ab4272607ac0ab26997270cf05c64ce9ac547e866068907d1; matching a digest establishes source identity, not semantic fidelity.

L122-/

Closes the preceding documentation/provenance comment; it adds no executable code.

L123theorem revisionWithoutProgress :

Exhibits a policy meeting the generation interface and universal revisability while its independently chosen constant trace never expands.

L124    Generative openPolicy ∧

Asserts openPolicy meets the adopted valuation-and-revisability specification.

L125    (∀ k : FormKind, openPolicy.revisable ⟨k, 0⟩) ∧

Additionally exposes revision permission for version zero of every form category.

L126    (∀ t, ¬ Expanded (stableTrace t) (stableTrace (t + 1))) := by

Every adjacent pair in the constant trace lacks a newly understood or constructed operation.

L127  simp [Generative, openPolicy, stableTrace, Expanded]

Reduces the policy clauses to true and every expansion claim to impossible new membership in an unchanged list.

L129structure ExternalResources where

Stores three optional natural numbers representing external-resource slots.

L130  experience : Option Nat

An optional external experience value; none makes assistedExecution fail at its first read.

L131  knowledge : Option Nat

An optional knowledge value required after the experience input.

L132  collaborator : Option Nat

An optional collaborator value required before producing the result.

L133  deriving DecidableEq, Repr

Generates decidable equality and display instances for the preceding datatype.

L135/- This interpreter actually needs all three external inputs to produce the modeled result. -/

Documents the following definition or result: An Option computation succeeds only when all three slots are present, then returns their sum through identity. This dependency is programmed into the example.

L136def assistedExecution (r : ExternalResources) : Option Nat := do

An Option computation succeeds only when all three slots are present, then returns their sum through identity. This dependency is programmed into the example.

L137  let e ← r.experience

Reads experience into e, immediately returning none when that resource is absent.

L138  let k ← r.knowledge

Reads knowledge into k; absence aborts the same Option computation.

L139  let c ← r.collaborator

Reads the collaborator's value into c, also propagating absence.

L140  pure (Operation.copy.run (e + k + c))

Returns the sum e+k+c through the copy operation inside some.

L142def availableResources : ExternalResources := ⟨some 1, some 2, some 3⟩

Provides resource values 1, 2 and 3 for the concrete success case.

L144/- Stability has a concrete stated reason in this workload: preserve its operation while staying within the one-item budget. -/

Documents the following definition or result: Defines a particular non-growth reason: construction lists match, the old inventory has length at most one, and the proposed one exceeds one.

L145def StableReason (before proposed : State) : Prop :=

Defines a particular non-growth reason: construction lists match, the old inventory has length at most one, and the proposed one exceeds one.

L146  before.constructed = proposed.constructed ∧

A reason to retain the old state requires both states to have exactly the same constructed operations.

L147  before.inventory.length ≤ 1 ∧ ¬ proposed.inventory.length ≤ 1

The old inventory must fit the one-item limit while the proposed inventory exceeds it.

L149/- The policy, current capabilities, execution interface and workload constraints belong to one generating system. -/

Documents the following definition or result: Binds one owner's policy, current state, resource-dependent executor, budget and required operations.

L150structure GeneratingSystem where

Binds one owner's policy, current state, resource-dependent executor, budget and required operations.

L151  owner : Nat

Identifies the owner of this generating system.

L152  policy : Policy

Attaches the valuation and revisability policy to this same system.

L153  current : State

Stores the system's current represented capability and inventory state.

L154  execute : ExternalResources → Option Nat

Stores this system's actual resource-consuming execution function.

L155  applicationBudget : Nat

Specifies the inventory-size budget used to evaluate stable and proposed states.

L156  requiredOperations : List Operation

Specifies operations that the workload requires to remain constructed.

L157/- The modeled system uses the assisted interpreter under a one-item budget and a copy-operation requirement. -/

Documents the following definition or result: Instantiates owner zero with the open policy, base state, three-slot executor, budget one and required copy operation.

L158def generatingSystem : GeneratingSystem where

Instantiates owner zero with the open policy, base state, three-slot executor, budget one and required copy operation.

L159  owner := 0

Assigns owner identifier zero to the concrete generating system.

L160  policy := openPolicy

Installs openPolicy in that same concrete system.

L161  current := baseState

Sets its current capabilities and inventory to baseState.

L162  execute := assistedExecution

Uses the three-resource assisted interpreter as this system's execution interface.

L163  applicationBudget := 1

Sets this workload's inventory budget to exactly one item.

L164  requiredOperations := [.copy]

Requires the concrete workload to preserve the copy operation.

L165/- A stable action retains this system's own current state. -/

Documents the following definition or result: Returns this system's current state as its stability-preserving action.

L166def GeneratingSystem.stableAction (system : GeneratingSystem) : State := system.current

Returns this system's current state as its stability-preserving action.

L167def GeneratingSystem.requirementsMet (system : GeneratingSystem) (state : State) : Prop :=

Checks every operation required by this same system is constructed in the assessed state.

L168  ∀ operation, operation ∈ system.requiredOperations → operation ∈ state.constructed

For this system and proposed state, every required operation must occur in the state's constructed list.

L169def GeneratingSystem.withinBudget (system : GeneratingSystem) (state : State) : Prop :=

Compares the assessed state's inventory length against this system's declared budget.

L170  state.inventory.length ≤ system.applicationBudget

Checks the state's inventory count against this same system's declared application budget.

L171/- An expansion report identifies the actual before/after states and the operation/performance it asserts was added. -/

Documents the following definition or result: Stores reporting owner, exact before/after states, claimed new operation, tested input and expected output.

L172structure Announcement where

Stores reporting owner, exact before/after states, claimed new operation, tested input and expected output.

L173  owner : Nat

Records whose expansion announcement this is.

L174  before : State

Stores the exact baseline state named by the announcement.

L175  after : State

Stores the exact resulting state named by the announcement.

L176  reportedNewOperation : Operation

Names the operation alleged to be newly constructed.

L177  input : Nat

Fixes the input at which the announced operation's behavior is claimed.

L178  expectedOutput : Nat

Stores the claimed output of that operation at the stated input.

L179  deriving DecidableEq, Repr

Generates decidable equality and display instances for the preceding datatype.

L180/- Reports are generated by this system and identify its actual current state as their baseline. -/

Documents the following definition or result: Builds a report from this system's owner/current state and the supplied proposal and operation contract.

L181def GeneratingSystem.report (system : GeneratingSystem) (after : State)

Builds a report from this system's owner/current state and the supplied proposal and operation contract.

L182    (operation : Operation) (input expectedOutput : Nat) : Announcement :=

Receives the allegedly new operation and the concrete input/output pair for this report.

L183  ⟨system.owner, system.current, after, operation, input, expectedOutput⟩

Builds a report tied to the system's owner and current baseline, using the supplied after-state and claim data.

L184/- Report content is interpreted against those very states and the named operation's actual behavior. -/

Documents the following definition or result: Requires the reported operation to be newly constructed and to produce the stated output at the stated input.

L185def Announcement.claim (report : Announcement) : Prop :=

Requires the reported operation to be newly constructed and to produce the stated output at the stated input.

L186  report.reportedNewOperation ∈ report.after.constructed ∧

The reported new operation must actually occur in the announcement's after-state.

L187  report.reportedNewOperation ∉ report.before.constructed ∧

The same operation must be absent from the announcement's baseline constructed list.

L188  report.reportedNewOperation.run report.input = report.expectedOutput

Its actual run at the reported input must equal the announced expected output.

L189/- A true report of this form entails a represented construction expansion. -/

Documents the following definition or result: Uses the genuinely new constructed operation from an assumed report claim as the expansion witness.

L190theorem announcementClaimImpliesExpansion (report : Announcement) (h : report.claim) :

Uses the genuinely new constructed operation from an assumed report claim as the expansion witness.

L191    Expanded report.before report.after := Or.inr ⟨report.reportedNewOperation, h.1, h.2.1⟩

Uses the claim's after-membership and before-absence to construct Expanded's construction branch.

L192/- This concrete self-report asserts a successor operation for the actual inventory-only inflation. -/

Documents the following definition or result: This system reports successor at input zero for an inventory-only inflation proposal.

L193def inflatedAnnouncement : Announcement := generatingSystem.report inflatedState .successor 0 1

This system reports successor at input zero for an inventory-only inflation proposal.

L194/- The report asserts a real successor result but its named operation is absent from its own after-state. -/

Documents the following definition or result: Computes the exact report objects and shows its claimed new operation and actual expansion both fail.

L195theorem inflatedAnnouncementRefuted :

Computes the exact report objects and shows its claimed new operation and actual expansion both fail.

L196    inflatedAnnouncement.before = baseState ∧ inflatedAnnouncement.after = inflatedState ∧

Confirms the concrete announcement refers to baseState and inflatedState themselves.

L197    inflatedAnnouncement.reportedNewOperation = .successor ∧

Confirms the alleged new operation is successor.

L198    inflatedAnnouncement.input = 0 ∧ inflatedAnnouncement.expectedOutput = 1 ∧

Confirms the announced test is input zero with expected output one.

L199    ¬ inflatedAnnouncement.claim ∧ ¬ Expanded inflatedAnnouncement.before inflatedAnnouncement.after := by

States both that the announcement's substantive claim fails and that its own state pair has no expansion.

L200  simp [inflatedAnnouncement, GeneratingSystem.report, generatingSystem, Announcement.claim, Expanded, baseState, inflatedState]

Computes the report fields and unchanged capability lists; successor is absent from the after-state despite its correct 0→1 behavior.

L202/- These transitions share one initial state; only extension adds an actual new operation. -/

Documents the following definition or result: Restricts the achievement model to inventory inflation and genuine operation extension.

L203inductive TransitionCase | inflate | extend

Restricts the achievement model to inventory inflation and genuine operation extension.

L204  deriving DecidableEq, Repr

Generates decidable equality and display instances for the preceding datatype.

L206def extendedState : State :=

Adds successor to the base state's understanding and construction lists.

L207  { baseState with understood := [.copy, .successor], constructed := [.copy, .successor] }

Adds successor to both understood and constructed lists while retaining the baseline's other fields.

L208def transitionBefore (_transition : TransitionCase) : State := baseState

Both modeled transitions share the same base-state baseline.

L209def transitionAfter : TransitionCase → State

Chooses inflatedState or extendedState according to the transition constructor.

L210  | .inflate => inflatedState

The inflate transition ends at the inventory-only inflated state.

L211  | .extend => extendedState

The extend transition ends at the state with newly understood and constructed successor.

L212/- Both alternatives are assessed under the same concrete input condition. -/

Documents the following definition or result: Uses zero as the explicit tested input for both transition cases.

L213def transitionInput (_transition : TransitionCase) : Nat := 0

Uses zero as the explicit tested input for both transition cases.

L214def transitionAnnouncement (transition : TransitionCase) : Announcement :=

Reports successor output one at input zero for this same system and selected after-state.

L215  generatingSystem.report (transitionAfter transition) .successor (transitionInput transition) 1

Both alternatives announce successor at the shared input zero, but name their own actual after-state.

L217/- Eleven boundary branches share a content-bearing trace and executable dependency model. They do not assert a universal law of human capability. -/

Documents the following definition or result: Checks all concrete branches on the bound system: unchanged capability despite list inflation, resource dependence, justified stable action and an untrue same-object achievement report.

L218/-- organon-map CoreReader.Agency.generationLimits

Opens provenance metadata binding CoreReader.Agency.generationLimits to the following source references; this metadata is not a proof premise.

L219organon.charter.self-transcendence.limits#p1 sha256 6dade83f0b7fcc004bdb37b6726c15b31b06a377de4e86d506c9d2e67847029d

Records source reference organon.charter.self-transcendence.limits#p1 with content digest 6dade83f0b7fcc004bdb37b6726c15b31b06a377de4e86d506c9d2e67847029d; matching a digest establishes source identity, not semantic fidelity.

L220organon.charter.self-transcendence.limits#p2 sha256 6dade83f0b7fcc004bdb37b6726c15b31b06a377de4e86d506c9d2e67847029d

Records source reference organon.charter.self-transcendence.limits#p2 with content digest 6dade83f0b7fcc004bdb37b6726c15b31b06a377de4e86d506c9d2e67847029d; matching a digest establishes source identity, not semantic fidelity.

L221-/

Closes the preceding documentation/provenance comment; it adds no executable code.

L222theorem generationLimits :

Checks all concrete branches on the bound system: unchanged capability despite list inflation, resource dependence, justified stable action and an untrue same-object achievement report.

L223    Generative generatingSystem.policy ∧

The concrete system retains the adopted generative policy.

L224    generatingSystem.policy.permitsVersion 0 0 ∧

Its policy allows keeping version zero, so generativity does not require every action to change versions.

L225    ¬ Expanded generatingSystem.current inflatedState ∧

Inflating this system's inventory does not expand its represented capabilities.

L226    generatingSystem.current.inventory.length < inflatedState.inventory.length ∧

The inflated state has strictly more inventory entries than this system's current state.

L227    generatingSystem.current.abstractionLayers.length < inflatedState.abstractionLayers.length ∧

Its abstraction-layer count also strictly increases without capability expansion.

L228    generatingSystem.current.vocabulary.length < inflatedState.vocabulary.length ∧

Its vocabulary count strictly increases under the same unchanged capability content.

L229    generatingSystem.execute availableResources = some 6 ∧

With resources 1,2,3, this system's execution actually returns some 6.

L230    generatingSystem.execute { availableResources with experience := none } = none ∧

Removing experience from that same resource bundle makes the system's execution fail.

L231    generatingSystem.execute { availableResources with knowledge := none } = none ∧

Removing knowledge alone likewise makes its execution return none.

L232    generatingSystem.execute { availableResources with collaborator := none } = none ∧

Removing the collaborator input alone also makes execution fail.

L233    generatingSystem.execute ⟨none, none, none⟩ = none ∧

With all three external inputs absent, this same execution interface returns none.

L234    ¬ Expanded generatingSystem.current generatingSystem.stableAction ∧

The system's stable action yields no represented capability expansion.

L235    generatingSystem.stableAction = generatingSystem.current ∧

That stable action is exactly retention of the system's current state.

L236    generatingSystem.requirementsMet generatingSystem.stableAction ∧

Retention preserves the workload's required copy operation.

L237    generatingSystem.withinBudget generatingSystem.stableAction ∧

The retained one-item state fits this system's one-item application budget.

L238    ¬ generatingSystem.withinBudget inflatedState ∧

The duplicated inventory has two entries and exceeds this same system's one-item budget.

L239    StableReason generatingSystem.current inflatedState ∧

Stability has the stated reason: construction is unchanged, but only the current state fits the budget.

L240    (inflatedAnnouncement = generatingSystem.report inflatedState .successor 0 1 ∧

Identifies the report as this system's announcement about inflatedState, successor, input zero and output one.

L241      inflatedAnnouncement.owner = generatingSystem.owner ∧

The report's owner equals this generating system's owner.

L242      inflatedAnnouncement.before = generatingSystem.current ∧ inflatedAnnouncement.after = inflatedState ∧

The report uses this system's current state as baseline and inflatedState as result.

L243      inflatedAnnouncement.reportedNewOperation = .successor ∧

The operation this actual report calls new is successor.

L244      inflatedAnnouncement.input = 0 ∧ inflatedAnnouncement.expectedOutput = 1 ∧

The report's claimed performance remains the concrete pair 0→1.

L245      ¬ inflatedAnnouncement.claim ∧ ¬ Expanded inflatedAnnouncement.before inflatedAnnouncement.after) := by

Despite that report, its claim is false and its own before/after pair has no capability expansion.

L246  simp [generatingSystem, GeneratingSystem.stableAction, GeneratingSystem.requirementsMet,

Begins computing all generationLimits clauses by exposing the concrete system, retention action and required-operation check.

L247    GeneratingSystem.withinBudget, GeneratingSystem.report, Generative, openPolicy, Expanded,

Also exposes the one-item budget, report constructor and policy/expansion predicates so their claims reduce to concrete data.

L248    baseState, inflatedState, assistedExecution, availableResources, Operation.run,

Uses the actual baseline/inflated lists and three-resource interpreter to decide the size, membership and execution results.

L249    StableReason, inflatedAnnouncement, Announcement.claim]

Finally unfolds the stability reason and owned announcement claim, completing all conjunction branches by computation.

L251/- The empty work log omits an actually applicable system assessment despite an open generative policy. -/

Documents the following definition or result: Exhibits a policy meeting generation while empty records fail the nonempty concrete reflexivity requirements.

L252/-- organon-map CoreReader.Agency.generationNotReflexivity

Opens provenance metadata binding CoreReader.Agency.generationNotReflexivity to the following source references; this metadata is not a proof premise.

L253organon.relationships.roles#p1 sha256 24b533c77fe93d0570da65ee361893f2c445842f48ee6f315f99f8abc06a0e5e

Records source reference organon.relationships.roles#p1 with content digest 24b533c77fe93d0570da65ee361893f2c445842f48ee6f315f99f8abc06a0e5e; matching a digest establishes source identity, not semantic fidelity.

L254organon.relationships.roles#p2 sha256 24b533c77fe93d0570da65ee361893f2c445842f48ee6f315f99f8abc06a0e5e

Records source reference organon.relationships.roles#p2 with content digest 24b533c77fe93d0570da65ee361893f2c445842f48ee6f315f99f8abc06a0e5e; matching a digest establishes source identity, not semantic fidelity.

L255organon.relationships.roles#p3 sha256 24b533c77fe93d0570da65ee361893f2c445842f48ee6f315f99f8abc06a0e5e

Records source reference organon.relationships.roles#p3 with content digest 24b533c77fe93d0570da65ee361893f2c445842f48ee6f315f99f8abc06a0e5e; matching a digest establishes source identity, not semantic fidelity.

L256-/

Closes the preceding documentation/provenance comment; it adds no executable code.

L257theorem generationNotReflexivity :

Exhibits a policy meeting generation while empty records fail the nonempty concrete reflexivity requirements.

L258    Generative openPolicy ∧ ¬ Reflexive 0 (ownRules 0) [] := by

Combines a generative openPolicy with failure of owned reflexivity when the work log is empty.

L259  constructor

Separates establishing Generative from refuting the empty-log Reflexive claim.

L260  · simp [Generative, openPolicy]

Computes openPolicy's expansion valuation and unconditional revisability.

L261  · intro h

Assumes, for contradiction, that the empty log satisfies the owned reflexivity contract.

L262    have bad := noSelfExemption 0 (ownRules 0) [] h (assessingRule 0) (by simp [ownRules])

Applies noSelfExemption to the registered assessingRule, forcing a performed assessment from the assumed empty-log compliance.

L263      (.system 0) rfl (by simp [assessingRule, ownSubjects])

Chooses the very system subject with matching owner and proves that assessment is applicable to it.

L264    simp [Performed] at bad

Unfolding Performed reveals an impossible member of the empty work list.

L266/- The same proposed arithmetic principle is used in the self-test and in the universal correctness claim. -/

Documents the following definition or result: Decides the arithmetic equation n+1=2*n for each natural number.

L267def ownArithmeticPrinciple (n : Nat) : Bool := decide (n + 1 = 2 * n)

Decides the arithmetic equation n+1=2*n for each natural number.

L269def selfTest (samples : List Nat) : Bool := samples.all ownArithmeticPrinciple

Returns true precisely when the equation holds at every listed sample; no unlisted input is tested.

L271/- A genuine evaluation on the selected sample succeeds, while the same principle fails at zero. -/

Documents the following definition or result: Computes success on sample 1 and failure at 0, refuting universal success. This concerns the particular arithmetic predicate, not a universal impossibility theorem about all self-tests.

L272/-- organon-map CoreReader.Agency.selfTestDoesNotProve

Opens provenance metadata binding CoreReader.Agency.selfTestDoesNotProve to the following source references; this metadata is not a proof premise.

L273organon.charter.reflexivity.limits#p1 sha256 ac0baae0d86e69f84c1ca4dee837de2759e2d29c295ffc257d988962158d4bbc

Records source reference organon.charter.reflexivity.limits#p1 with content digest ac0baae0d86e69f84c1ca4dee837de2759e2d29c295ffc257d988962158d4bbc; matching a digest establishes source identity, not semantic fidelity.

L274-/

Closes the preceding documentation/provenance comment; it adds no executable code.

L275theorem selfTestDoesNotProve :

Computes success on sample 1 and failure at 0, refuting universal success. This concerns the particular arithmetic predicate, not a universal impossibility theorem about all self-tests.

L276    selfTest [1] = true ∧ ownArithmeticPrinciple 0 = false ∧

The same arithmetic principle passes sample 1 but evaluates false at 0.

L277      ¬ (∀ n, ownArithmeticPrinciple n = true) := by

Therefore that principle does not return true for every natural-number input.

L278  constructor

Separates the passing sample computation from the two failure claims.

L279  · decide

Evaluates the singleton sample: 1+1 equals 2×1, so selfTest [1] is true.

L280  constructor

Separates the concrete failure at zero from refuting universal success.

L281  · decide

Computes 0+1≠2×0, making ownArithmeticPrinciple 0 false.

L282  · intro h

Assumes the same principle succeeds for every input.

L283    have bad := h 0

Specializes that universal assumption to input zero.

L284    contradiction

Contradicts the computed false result at zero, refuting universal correctness.

L286end CoreReader.Agency

Closes the current namespace.