Theorems · Theorem · category theory

CategoryTheory.Dial.leftUnitor_hom_F

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasFiniteProducts C]
  [inst_2 : CategoryTheory.Limits.HasPullbacks C] (X : CategoryTheory.Dial C),
  (CategoryTheory.MonoidalCategoryStruct.leftUnitor X).hom.F =
    CategoryTheory.Limits.prod.lift (CategoryTheory.Limits.terminal.from (((⊤_ C) ⨯ X.src) ⨯ X.tgt))
      CategoryTheory.Limits.prod.snd

Defined in

Mathlib.CategoryTheory.Dialectica.Monoidal

Cited by

2 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasFiniteProductsCategoryTheory.Limits.HasPullbacks