Theorems · Theorem · category theory
CategoryTheory.CatEnrichedOrdinary.Hom.base_eqToHom
∀ {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} (α : f = g),
CategoryTheory.CatEnrichedOrdinary.Hom.base (CategoryTheory.eqToHom α) = CategoryTheory.eqToHom ⋯- Cited by
- 3 results in Mathlib
- Foundations
- Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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.eqToHomstatement and proof · cited by 860
- CategoryTheory.EnrichedOrdinaryCategorystatement and proof · cited by 109
- CategoryTheory.CatEnrichedstatement · cited by 25
- CategoryTheory.CatEnrichedOrdinarystatement and proof · cited by 24
- CategoryTheory.CatEnrichedOrdinary.homEquivstatement · cited by 18
- CategoryTheory.CatEnrichedOrdinary.toBasestatement · cited by 16
- CategoryTheory.CatEnrichedOrdinary.Hom.basestatement and proof · cited by 12
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.CatEnrichedOrdinary.hComp_assocproof · cited by 1
- CategoryTheory.CatEnrichedOrdinary.id_hCompproof · cited by 1
- CategoryTheory.CatEnrichedOrdinary.hComp_idproof · cited by 1