Theorems · Theorem · category theory

CategoryTheory.Limits.Fork.condition_assoc

∀ {C : Type u} {X Y : C} [inst : CategoryTheory.Category.{v, u} C] {f g : X ⟶ Y} (t : CategoryTheory.Limits.Fork f g)
  {Z : C} (h : Y ⟶ Z),
  CategoryTheory.CategoryStruct.comp t.ι (CategoryTheory.CategoryStruct.comp f h) =
    CategoryTheory.CategoryStruct.comp t.ι (CategoryTheory.CategoryStruct.comp g h)

Defined in: Mathlib.CategoryTheory.Limits.Shapes.Equalizers
Cited by: 0 results in Mathlib
Foundations: Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement and proof · cited by 32,603
CategoryTheory.CategoryStruct.compstatement · cited by 17,999
CategoryTheory.Category.assocproof · cited by 6,433
CategoryTheory.Limits.Cone.ptstatement · cited by 1,298
CategoryTheory.Limits.WalkingParallelPairstatement · cited by 781
CategoryTheory.Limits.parallelPairstatement · cited by 766
CategoryTheory.Limits.Fork.ιstatement and proof · cited by 162
CategoryTheory.Limits.Forkstatement and proof · cited by 85
CategoryTheory.Limits.Fork.conditionproof · cited by 11

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