theorem
proved
reality_recognition_framework_complete
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IndisputableMonolith.RRF.Foundation.UltimateIsomorphism on GitHub at line 118.
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depends on
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State -
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LogicSystem -
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FrameworkComplete -
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qualia_embeds -
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universalStructure -
UniversalStructure
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formal source
115 (∀ Q : QualiaSpace, Nonempty (Embeds Q.State R))
116
117/-- THE ULTIMATE THEOREM: The Reality Recognition Framework is complete. -/
118theorem reality_recognition_framework_complete :
119 FrameworkComplete universalStructure :=
120 ⟨physics_embeds, logic_embeds, qualia_embeds⟩
121
122/-! ## The Machine-Verified Claim -/
123
124/-!
125### Framework Verification Status
126
1271. **Type-checked**: This file compiles successfully.
1282. **No Sorries**: The framework has no `sorry` placeholders (verified by CI).
1293. **No Custom Axioms**: The framework has no axioms beyond standard Lean (verified by CI).
130-/
131
132/-! ## The End State -/
133
134/--
135What we have proven (machine-verified):
136
1371. A UniversalStructure exists
1382. Any PhysicsTheory can be embedded into it
1393. Any LogicSystem can be embedded into it
1404. Any QualiaSpace can be embedded into it
1415. The strain functional is universal (J)
142
143This is the "Reality = Recognition" theorem.
144-/
145theorem reality_is_recognition :
146 ∃ R : UniversalStructure, FrameworkComplete R :=
147 ⟨universalStructure, reality_recognition_framework_complete⟩
148