def
definition
narrative_admissible
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IndisputableMonolith.Foundation.UniversalForcing.AdmissibleClass on GitHub at line 71.
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depends on
-
AdmissibleRealization -
eventCompose -
eventCost -
narrativeZero -
strictNarrativeRealization -
eventCompose_assoc
used by
formal source
68 show Biology.reproduce Biology.lineageZero Biology.lineageZero = Biology.lineageZero
69 rfl
70
71noncomputable def narrative_admissible : AdmissibleRealization Narrative.strictNarrativeRealization := by
72 refine ⟨?_, ?_, Or.inl ?_⟩
73 · intro a b; exact decEq (Narrative.eventCost a b) 0
74 · exact RichDomainCosts.NarrativeRich.eventCompose_assoc
75 · show Narrative.eventCompose Narrative.narrativeZero Narrative.narrativeZero
76 = Narrative.narrativeZero
77 rfl
78
79noncomputable def ethics_admissible : AdmissibleRealization Ethics.strictEthicsRealization := by
80 refine ⟨?_, ?_, Or.inl ?_⟩
81 · intro a b; exact decEq (Ethics.actionCost a b) 0
82 · exact RichDomainCosts.EthicsRich.preferenceCompose_assoc
83 · show Ethics.preferenceCompose Ethics.ethicalZero Ethics.ethicalZero
84 = Ethics.ethicalZero
85 rfl
86
87/-! ## Headline theorem: quantified universal forcing
88
89Universal forcing is provided by `StrictLogicRealization.universal_forcing`
90on the underlying realization pair, regardless of admissibility. The
91*content* of this module is the existence of `AdmissibleRealization`
92witnesses for the four canonical domain realizations (Music, Biology,
93Narrative, Ethics). The downstream consumer wishing the quantified
94version applies `StrictLogicRealization.universal_forcing R S` directly,
95having confirmed admissibility via the witnesses below. -/
96
97/-- Restating the structural fact: admissibility witnesses exist for the
98 four canonical domain realizations. The actual universal forcing
99 equivalence is the universally available
100 `StrictLogicRealization.universal_forcing`, which does not depend on
101 admissibility. -/