Theorems · Theorem · category theory
CategoryTheory.eqToHom_comp_heq_iff
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {W X Y Z Z' : C} (f : Y ⟶ X) (g : Z ⟶ Z') (h : W = Y),
CategoryTheory.CategoryStruct.comp (CategoryTheory.eqToHom h) f ≍ g ↔ f ≍ g- Defined in
- Mathlib.CategoryTheory.EqToHom
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- Foundations
- Depth 9 from the axioms · uses propext
- Assumes
- CategoryTheory.Category
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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 · cited by 17,999
- CategoryTheory.eqToHomstatement · cited by 860
- CategoryTheory.eqToHom_comp_heqproof · cited by 2
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