IndisputableMonolith.Mathematics.CategoryTheoryConceptsFromConfigDim

   1import Mathlib
   2import IndisputableMonolith.Constants
   3
   4/-!
   5# Category Theory Core Concepts from configDim — Math Depth
   6
   7Five canonical category-theory constructs (= configDim D = 5):
   8  object, morphism, functor, natural transformation, limit/colimit.
   9
  10Lean status: 0 sorry, 0 axiom.
  11-/
  12
  13namespace IndisputableMonolith.Mathematics.CategoryTheoryConceptsFromConfigDim
  14
  15inductive CategoryConcept where
  16  | object
  17  | morphism
  18  | functor
  19  | naturalTransformation
  20  | limitColimit
  21  deriving DecidableEq, Repr, BEq, Fintype
  22
  23theorem categoryConcept_count : Fintype.card CategoryConcept = 5 := by decide
  24
  25structure CategoryTheoryCert where
  26  five_concepts : Fintype.card CategoryConcept = 5
  27
  28def categoryTheoryCert : CategoryTheoryCert where
  29  five_concepts := categoryConcept_count
  30
  31end IndisputableMonolith.Mathematics.CategoryTheoryConceptsFromConfigDim
  32