Theorems · Theorem · category theory

CategoryTheory.HomRel.IsStableUnderPostcomp.comp_right

∀ {C : Type u_1} {inst : CategoryTheory.Category.{v_1, u_1} C} {r : HomRel C}
  [self : CategoryTheory.HomRel.IsStableUnderPostcomp r] {X Y Z : C} {f f' : X ⟶ Y} (g : Y ⟶ Z),
  r f f' → r (CategoryTheory.CategoryStruct.comp f g) (CategoryTheory.CategoryStruct.comp f' g)

Defined in: Mathlib.CategoryTheory.Quotient
Cited by: 1 results in Mathlib
Foundations: Depth 4 from the axioms · uses no axioms
Assumes: CategoryTheory.HomRel.IsStableUnderPostcomp

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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 · cited by 32,603
CategoryTheory.CategoryStruct.compstatement · cited by 17,999
HomRelstatement and proof · cited by 49
CategoryTheory.HomRel.IsStableUnderPostcompstatement and proof · cited by 7

Cited by1

Results whose statement or proof uses this declaration.

CategoryTheory.HomRel.compClosure_iff_selfproof · cited by 0