Theorems · Theorem · category theory

CategoryTheory.Presheaf.freeYoneda.congr_simp

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {A : Type u'} [inst_1 : CategoryTheory.Category.{v', u'} A]
  [inst_2 : CategoryTheory.Limits.HasCoproducts A] (X X_1 : C),
  X = X_1 → ∀ (M M_1 : A), M = M_1 → CategoryTheory.Presheaf.freeYoneda X M = CategoryTheory.Presheaf.freeYoneda X_1 M_1

Defined in: Mathlib.CategoryTheory.Presentable.Presheaf
Cited by: 0 results in Mathlib
Foundations: Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category CategoryTheory.Limits.HasCoproducts

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functorstatement · cited by 16,252
Oppositestatement · cited by 8,081
CategoryTheory.Limits.HasCoproductsstatement and proof · cited by 119
CategoryTheory.Presheaf.freeYonedastatement and proof · cited by 11

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