`internal_consistency_exists`

proved

show as: view math explainer →

module: IndisputableMonolith.RRF.Foundation.SelfReference
domain: RRF
line: 162 · github
papers citing: none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.RRF.Foundation.SelfReference on GitHub at line 162.

browse module

All declarations in this module, on Recognition.

explainer page

Tracked in the explainer inventory; generation is lazy so crawlers do not trigger LLM jobs.

open explainer

depends on

formal source

 159
 160
 161/-- Internal consistency is witnessed. -/
 162theorem internal_consistency_exists : Nonempty InternalConsistency :=
 163  ⟨rrf_internally_consistent⟩
 164
 165/-! ## The Compilation as Recognition -/
 166
 167/-- Compilation is a recognition event.
 168
 169When Lean type-checks this file, it is performing a recognition:
 170verifying that the propositions are consistent with the type theory.
 171-/
 172structure CompilationAsRecognition where
 173  /-- The code being compiled. -/
 174  code : LeanCode
 175  /-- Compilation succeeds. -/
 176  compiles : TypeCheckResult
 177  /-- Success means the propositions are recognized as valid. -/
 178  recognized : Bool
 179
 180/-- This compilation is a recognition event. -/
 181def this_is_recognition : CompilationAsRecognition := {
 182  code := { source := "SelfReference.lean", module := "RRF.Foundation.SelfReference" },
 183  compiles := .success,
 184  recognized := true
 185}
 186
 187
 188/-- Recognition event exists. -/
 189theorem recognition_event_exists : Nonempty CompilationAsRecognition :=
 190  ⟨this_is_recognition⟩
 191
 192/-! ## Summary -/

papers checked against this theorem

No papers in the current corpus map onto this theorem yet.