Theorems · Theorem · category theory

CategoryTheory.ChosenPullbacksAlong.Over.whiskerRight_left_fst

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.ChosenPullbacks C] {X : C}
  {R S T : CategoryTheory.Over X} (f : S ⟶ T),
  CategoryTheory.CategoryStruct.comp
      (CategoryTheory.Over.Hom.left (CategoryTheory.MonoidalCategoryStruct.whiskerRight f R))
      (CategoryTheory.ChosenPullbacksAlong.fst T.hom R.hom) =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.ChosenPullbacksAlong.fst S.hom R.hom)
      (CategoryTheory.Over.Hom.left f)

Defined in

Mathlib.CategoryTheory.LocallyCartesianClosed.Over

Cited by

1 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.ChosenPullbacks