Theorems · Theorem · category theory
CategoryTheory.eqToHom_comp_heq
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {W X Y : C} (f : Y ⟶ X) (h : W = Y),
CategoryTheory.CategoryStruct.comp (CategoryTheory.eqToHom h) f ≍ f- Defined in
- Mathlib.CategoryTheory.EqToHom
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.eqToHomstatement and proof · cited by 860
- CategoryTheory.eqToHom_reflproof · cited by 28
- CategoryTheory.conj_eqToHom_iff_heqproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.eqToHom_comp_heq_iffproof · cited by 0
- CategoryTheory.heq_eqToHom_comp_iffproof · cited by 0