Theorems · Theorem · category theory

CategoryTheory.ChosenPullbacksAlong.Over.rightUnitor_inv_left_snd

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.ChosenPullbacks C] {X : C}
  (Y : CategoryTheory.Over X),
  CategoryTheory.CategoryStruct.comp
      (CategoryTheory.Over.Hom.left (CategoryTheory.MonoidalCategoryStruct.rightUnitor Y).inv)
      (CategoryTheory.ChosenPullbacksAlong.snd Y.hom (CategoryTheory.CategoryStruct.id X)) =
    Y.hom

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.Category CategoryTheory.ChosenPullbacks

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement · cited by 32,603
CategoryTheory.CategoryStruct.compstatement · cited by 17,999
CategoryTheory.Iso.invstatement · cited by 6,514
CategoryTheory.CategoryStruct.idstatement · cited by 6,235
CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
CategoryTheory.Overstatement and proof · cited by 935
CategoryTheory.Over.leftstatement · cited by 541
CategoryTheory.CommaMorphism.leftproof · cited by 526
CategoryTheory.MonoidalCategoryStruct.rightUnitorstatement · cited by 397
CategoryTheory.Over.homstatement · cited by 370

Cited by1

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CategoryTheory.ChosenPullbacksAlong.Over.rightUnitor_inv_left_snd_assocproof · cited by 0