Theorems · Definition · category theory
CategoryTheory.CostructuredArrow.ofDiagEquivalence.inverse
{T : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} T] →
(X : T × T) →
CategoryTheory.Functor (CategoryTheory.CostructuredArrow (CategoryTheory.Over.forget X.1) X.2)
(CategoryTheory.CostructuredArrow (CategoryTheory.Functor.diag T) X)The inverse functor of ofDiagEquivalence.functor.
- Defined in
- Mathlib.CategoryTheory.Comma.Over.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.compproof · cited by 6,529
- CategoryTheory.Overstatement · cited by 935
- CategoryTheory.CostructuredArrowstatement and proof · cited by 536
- CategoryTheory.Over.homproof · cited by 370
- CategoryTheory.CostructuredArrow.leftproof · cited by 202
- CategoryTheory.CostructuredArrow.homproof · cited by 179
- CategoryTheory.Over.forgetstatement and proof · cited by 164
- CategoryTheory.CostructuredArrow.projproof · cited by 122
- CategoryTheory.Functor.diagstatement and proof · cited by 36
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.CostructuredArrow.ofDiagEquivalence.inverse_obj_right_asstatement and proof · cited by 0
- CategoryTheory.CostructuredArrow.ofDiagEquivalenceproof · cited by 0
- CategoryTheory.CostructuredArrow.ofDiagEquivalence.inverse_map_leftstatement and proof · cited by 0
- CategoryTheory.CostructuredArrow.ofDiagEquivalence.inverse_obj_homstatement and proof · cited by 0
- CategoryTheory.CostructuredArrow.ofDiagEquivalence.inverse_obj_leftstatement and proof · cited by 0