Theorems · Theorem · category theory

CategoryTheory.IsKernelPair.lift.congr_simp

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {R X Y : C} {f f_1 : X ⟶ Y} (e_f : f = f_1) {a a_1 : R ⟶ X}
  (e_a : a = a_1) {b b_1 : R ⟶ X} (e_b : b = b_1) {S : C} (k : CategoryTheory.IsKernelPair f a b) (p p_1 : S ⟶ X)
  (e_p : p = p_1) (q q_1 : S ⟶ X) (e_q : q = q_1)
  (w : CategoryTheory.CategoryStruct.comp p f = CategoryTheory.CategoryStruct.comp q f), k.lift p q w = ⋯.lift p_1 q_1 ⋯

Defined in

Mathlib.CategoryTheory.Limits.Shapes.KernelPair

Cited by

0 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category