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Theorems · Theorem · category theory

CategoryTheory.CommSq.HasLift.over

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {S : C} {X₁ X₂ X₃ X₄ : CategoryTheory.Over S} {t : X₁ ⟶ X₂}
  {l : X₁ ⟶ X₃} {r : X₂ ⟶ X₄} {b : X₃ ⟶ X₄} {sq : CategoryTheory.CommSq t l r b} [⋯.HasLift], sq.HasLift
Defined in
Mathlib.CategoryTheory.LiftingProperties.Over
Cited by
1 results in Mathlib
Foundations
Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.CommSq.HasLift
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Around this declaration

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CategoryTheory.HasLiftingProperty.over · cited by 0HasLiftingProperty.overCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Functor.map · cited by 8698Functor.mapCategoryTheory.Over · cited by 935CategoryTheory.OverCategoryTheory.Over.left · cited by 541Over.leftCategoryTheory.Over.hom · cited by 370Over.homCategoryTheory.Over.Hom.left · cited by 287Hom.leftCategoryTheory.Over.forget · cited by 164Over.forgetCategoryTheory.CommSq · cited by 158CategoryTheory.CommSqCategoryTheory.Over.homMk · cited by 115Over.homMkCategoryTheory.Over.w · cited by 42Over.wCategoryTheory.CommSq.lift · cited by 34CommSq.liftCategoryTheory.Over.OverMorphism.ext · cited by 27OverMorphism.extCategoryTheory.CommSq.fac_left · cited by 22CommSq.fac_leftHasLift.overCITED BYCITES

Cites20

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Cited by1

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