Theorems · Definition · category theory
CategoryTheory.CatEnrichedOrdinary.Hom.casesOn
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.EnrichedOrdinaryCategory CategoryTheory.Cat C] →
{X Y : CategoryTheory.CatEnrichedOrdinary C} →
{f g : X ⟶ Y} →
{motive : CategoryTheory.CatEnrichedOrdinary.Hom f g → Sort u_1} →
(t : CategoryTheory.CatEnrichedOrdinary.Hom f g) →
((base' : CategoryTheory.CatEnrichedOrdinary.homEquiv f ⟶ CategoryTheory.CatEnrichedOrdinary.homEquiv g) →
motive { base' := base' }) →
motive t- Cited by
- 1 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- Equivstatement · cited by 8,337
- CategoryTheory.Catstatement and proof · cited by 884
- CategoryTheory.EnrichedOrdinaryCategorystatement and proof · cited by 109
- CategoryTheory.CatEnrichedstatement · cited by 25
- CategoryTheory.CatEnrichedOrdinarystatement and proof · cited by 24
- CategoryTheory.CatEnrichedOrdinary.homEquivstatement and proof · cited by 18
- CategoryTheory.CatEnrichedOrdinary.toBasestatement · cited by 16
- CategoryTheory.CatEnrichedOrdinary.Homstatement and proof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.CatEnrichedOrdinary.Hom.extproof · cited by 4
- CategoryTheory.CatEnrichedOrdinary.Hom.noConfusionproof · cited by 0
- CategoryTheory.CatEnrichedOrdinary.Hom.noConfusionTypeproof · cited by 0