Theorems · Theorem · category theory

CategoryTheory.Limits.weakEqualizer.lift.congr_simp

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {X Y : C} {f g : X ⟶ Y}
  [inst_1 : CategoryTheory.Limits.HasWeakEqualizer f g] {W : C} (k k_1 : W ⟶ X) (e_k : k = k_1)
  (h : CategoryTheory.CategoryStruct.comp k f = CategoryTheory.CategoryStruct.comp k g),
  CategoryTheory.Limits.weakEqualizer.lift k h = CategoryTheory.Limits.weakEqualizer.lift k_1 ⋯

Defined in: Mathlib.CategoryTheory.Limits.WeakLimits.WeakEqualizers
Cited by: 0 results in Mathlib
Foundations: Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Limits.HasWeakEqualizer

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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.Limits.HasWeakEqualizerstatement and proof · cited by 10
CategoryTheory.Limits.weakEqualizerstatement · cited by 7
CategoryTheory.Limits.weakEqualizer.liftstatement and proof · cited by 4

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