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Theorems · Theorem · category theory

TopCat.pullbackIsoProdSubtype_inv_snd

∀ {X Y Z : TopCat} (f : X ⟶ Z) (g : Y ⟶ Z),
  CategoryTheory.CategoryStruct.comp (TopCat.pullbackIsoProdSubtype f g).inv (CategoryTheory.Limits.pullback.snd f g) =
    TopCat.pullbackSnd f g
Defined in
Mathlib.Topology.Category.TopCat.Limits.Pullbacks
Cited by
4 results in Mathlib
Foundations
Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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TopCat.pullbackIsoProdSubtype_inv_snd_apply · cited by 5TopCat.pullbackIsoProdSub…TopCat.pullbackIsoProdSubtype_inv_snd_assoc · cited by 1TopCat.pullbackIsoProdSub…TopCat.range_pullback_to_prod · cited by 0TopCat.range_pullback_to_…TopCat.pullbackIsoProdSubtype_hom_snd · cited by 0TopCat.pullbackIsoProdSub…DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Iso.inv · cited by 6514Iso.invCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homTopCat.carrier · cited by 3184TopCat.carrierContinuousMap · cited by 2491ContinuousMapTopCat · cited by 1889TopCatCategoryTheory.Limits.WalkingPair · cited by 1319Limits.WalkingPairCategoryTheory.Limits.pullback · cited by 864Limits.pullbackCategoryTheory.Limits.pullback.snd · cited by 637pullback.sndCategoryTheory.Limits.WalkingCospan · cited by 496Limits.WalkingCospanCategoryTheory.Limits.cospan · cited by 467Limits.cospanCategoryTheory.Limits.WalkingCospan.right · cited by 182WalkingCospan.rightCategoryTheory.Limits.PullbackCone.mk_π_app · cited by 120PullbackCone.mk_π_appTopCat.pullbackIsoProdSubtype…CITED BYCITES

Cites20

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Cited by4

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