Theorems · Theorem · category theory

CategoryTheory.Functor.leftKanExtensionUniqueOfIso.congr_simp

∀ {C : Type u_1} {H : Type u_3} {D : Type u_4} [inst : CategoryTheory.Category.{v_1, u_1} C]
  [inst_1 : CategoryTheory.Category.{v_3, u_3} H] [inst_2 : CategoryTheory.Category.{v_4, u_4} D]
  (F' : CategoryTheory.Functor D H) {L : CategoryTheory.Functor C D} {F : CategoryTheory.Functor C H}
  (α α_1 : F ⟶ L.comp F') (e_α : α = α_1) [inst_3 : F'.IsLeftKanExtension α] {G : CategoryTheory.Functor C H}
  (i i_1 : F ≅ G),
  i = i_1 →
    ∀ (G' : CategoryTheory.Functor D H) (β β_1 : G ⟶ L.comp G') (e_β : β = β_1) [inst_4 : G'.IsLeftKanExtension β],
      F'.leftKanExtensionUniqueOfIso α i G' β = F'.leftKanExtensionUniqueOfIso α_1 i_1 G' β_1

Defined in

Mathlib.Condensed.Discrete.Colimit

Cited by

0 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.IsLeftKanExtensionCategoryTheory.Functor.IsLeftKanExtension