Theorems · Theorem · category theory

CategoryTheory.FreeMonoidalCategory.normalize_naturality

∀ {C : Type u} (n : CategoryTheory.FreeMonoidalCategory.NormalMonoidalObject C)
  {X Y : CategoryTheory.FreeMonoidalCategory C} (f : X ⟶ Y),
  CategoryTheory.CategoryStruct.comp
      (CategoryTheory.MonoidalCategoryStruct.whiskerLeft (CategoryTheory.FreeMonoidalCategory.inclusionObj n) f)
      (CategoryTheory.FreeMonoidalCategory.normalizeIsoApp' C Y n).hom =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.FreeMonoidalCategory.normalizeIsoApp' C X n).hom
      (CategoryTheory.FreeMonoidalCategory.inclusion.map (CategoryTheory.eqToHom ⋯))

Defined in

Mathlib.CategoryTheory.Monoidal.Free.Coherence

Cited by

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Foundations

Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound