Theorems · Theorem · category theory

CategoryTheory.Iso.coreWhiskerLeft

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {E : Type u₃} [inst_2 : CategoryTheory.Category.{v₃, u₃} E] (F : CategoryTheory.Functor C D)
  {G H : CategoryTheory.Functor D E} (η : G ≅ H),
  (F.isoWhiskerLeft η).core = F.coreComp G ≪≫ F.core.isoWhiskerLeft η.core ≪≫ (F.coreComp H).symm

Defined in

Mathlib.CategoryTheory.Core

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category