Theorems · Theorem · category theory
CategoryTheory.Over.coe_hom
∀ {T : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} T] {X Y : T} (f : Y ⟶ X), (CategoryTheory.Over.mk f).hom = f- Defined in
- Mathlib.CategoryTheory.Comma.Over.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 27 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.
Cites5
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.Homstatement and proof · cited by 32,603
- CategoryTheory.Over.leftstatement · cited by 541
- CategoryTheory.Over.homstatement · cited by 370
- CategoryTheory.Over.mkstatement · cited by 203
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Abelian.Pseudoelement.pseudoZero_auxproof · cited by 2
- CategoryTheory.Abelian.Pseudoelement.comp_applyproof · cited by 1
- CategoryTheory.Abelian.Pseudoelement.pseudo_surjective_of_epiproof · cited by 0