Theorems · Definition · category theory
CategoryTheory.Equivalence.functor
{C : Type u₁} →
{D : Type u₂} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.Category.{v₂, u₂} D] → (C ≌ D) → CategoryTheory.Functor C DThe forwards direction of an equivalence.
- Defined in
- Mathlib.CategoryTheory.Equivalence
- Cited by
- 1,268 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 4 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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 · cited by 16,252
- CategoryTheory.Equivalencestatement and proof · cited by 601
Cited by1,546
Results whose statement or proof uses this declaration.
- CategoryTheory.Equivalence.unitIsostatement · cited by 536
- CategoryTheory.Equivalence.counitIsostatement · cited by 480
- CategoryTheory.Equivalence.symmproof · cited by 195
- CategoryTheory.Over.cartesianMonoidalCategoryproof · cited by 68
- CategoryTheory.Equivalence.unitstatement · cited by 62
- CategoryTheory.Equivalence.toAdjunctionstatement · cited by 60
- CategoryTheory.Equivalence.opproof · cited by 57
- CategoryTheory.Equivalence.transproof · cited by 57
- CategoryTheory.Equivalence.counitstatement · cited by 52
- CategoryTheory.Equivalence.congrLeftproof · cited by 46
- CategoryTheory.Equivalence.counitInvstatement · cited by 46
- CategoryTheory.Equivalence.unitInvstatement · cited by 41
Showing the 200 most cited of 1,546.