Theorems · Theorem · category theory

CategoryTheory.CostructuredArrow.preEquivalence_functor

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {E : Type u₃} [inst_2 : CategoryTheory.Category.{v₃, u₃} E] (F : CategoryTheory.Functor C D)
  {G : CategoryTheory.Functor D E} {e : E} (f : CategoryTheory.CostructuredArrow G e),
  (CategoryTheory.CostructuredArrow.preEquivalence F f).functor =
    CategoryTheory.CostructuredArrow.preEquivalence.functor F f

Defined in: Mathlib.CategoryTheory.Comma.StructuredArrow.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category CategoryTheory.Category

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functorstatement and proof · cited by 16,252
CategoryTheory.Functor.compstatement · cited by 6,529
CategoryTheory.Equivalence.functorstatement and proof · cited by 1,268
CategoryTheory.CostructuredArrowstatement and proof · cited by 536
CategoryTheory.CostructuredArrow.leftstatement · cited by 202
CategoryTheory.CostructuredArrow.prestatement · cited by 36
CategoryTheory.CostructuredArrow.preEquivalence.functorstatement · cited by 7
CategoryTheory.CostructuredArrow.preEquivalencestatement and proof · cited by 4

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.