Theorems · Theorem · category theory

CategoryTheory.CatEnriched.hComp_id_heq

∀ {C : Type u_1} [inst : CategoryTheory.EnrichedCategory CategoryTheory.Cat C] {a b : CategoryTheory.CatEnriched C}
  {f f' : a ⟶ b} (η : f ⟶ f'),
  CategoryTheory.CatEnriched.hComp η (CategoryTheory.CategoryStruct.id (CategoryTheory.CategoryStruct.id b)) ≍ η

Defined in

Mathlib.CategoryTheory.Bicategory.CatEnriched

Cited by

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Foundations

Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.EnrichedCategory