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Theorems · Theorem · category theory

TopCat.prodIsoProd_hom_snd

∀ (X Y : TopCat),
  CategoryTheory.CategoryStruct.comp (X.prodIsoProd Y).hom TopCat.prodSnd = CategoryTheory.Limits.prod.snd
Defined in
Mathlib.Topology.Category.TopCat.Limits.Products
Cited by
2 results in Mathlib
Foundations
Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

TopCat.prodIsoProd_inv_snd · cited by 2TopCat.prodIsoProd_inv_sndTopCat.prodIsoProd_hom_snd_assoc · cited by 0TopCat.prodIsoProd_hom_sn…Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Iso.hom · cited by 7684Iso.homTopCat.carrier · cited by 3184TopCat.carrierCategoryTheory.Discrete · cited by 2447CategoryTheory.DiscreteTopCat · cited by 1889TopCatCategoryTheory.Limits.WalkingPair · cited by 1319Limits.WalkingPairCategoryTheory.Limits.pair · cited by 536Limits.pairCategoryTheory.Limits.prod · cited by 364Limits.prodCategoryTheory.Limits.prod.snd · cited by 185prod.sndCategoryTheory.Limits.limit.isLimit · cited by 146limit.isLimitCategoryTheory.Limits.IsLimit.conePointUniqueUpToIso · cited by 57IsLimit.conePointUniqueUp…TopCat.prodIsoProd · cited by 13TopCat.prodIsoProdCategoryTheory.Limits.limit.conePointUniqueUpToIso_inv_comp · cited by 7limit.conePointUniqueUpTo…TopCat.prodSnd · cited by 5TopCat.prodSndTopCat.prodIsoProd_hom_sndCITED BYCITES

Cites16

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Cited by2

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