def
definition
FrameworkComplete
show as:
view math explainer →
open explainer
Read the cached plain-language explainer.
open lean source
IndisputableMonolith.RRF.Foundation.UltimateIsomorphism on GitHub at line 112.
browse module
All declarations in this module, on Recognition.
explainer page
depends on
-
State -
complete -
is -
is -
is -
LogicSystem -
is -
State -
L -
L -
Embeds -
LogicSystem -
PhysicsTheory -
QualiaSpace -
UniversalStructure
used by
formal source
109/-! ## The Complete Isomorphism -/
110
111/-- The framework completeness property (as a proposition). -/
112def FrameworkComplete (R : UniversalStructure) : Prop :=
113 (∀ P : PhysicsTheory, Nonempty (Embeds P.State R)) ∧
114 (∀ L : LogicSystem, Nonempty (Embeds L.Prop' R)) ∧
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