Theorems · Theorem · category theory
CategoryTheory.Limits.MulticospanIndex.toPiForkFunctor_map_hom
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : CategoryTheory.Limits.MulticospanShape}
(I : CategoryTheory.Limits.MulticospanIndex J C) {c : CategoryTheory.Limits.Fan I.left}
(hc : CategoryTheory.Limits.IsLimit c) {d : CategoryTheory.Limits.Fan I.right} (hd : CategoryTheory.Limits.IsLimit d)
{K₁ K₂ : CategoryTheory.Limits.Multifork I} (f : K₁ ⟶ K₂), ((I.toPiForkFunctor hc hd).map f).hom = f.hom- Cited by
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- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites25
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.Discretestatement · cited by 2,447
- CategoryTheory.Limits.Cone.ptstatement · cited by 1,298
- CategoryTheory.Limits.WalkingParallelPairstatement · cited by 781
- CategoryTheory.Limits.parallelPairstatement · cited by 766
- CategoryTheory.Limits.IsLimitstatement and proof · cited by 664
- CategoryTheory.Discrete.functorstatement · cited by 633
- CategoryTheory.Limits.WalkingMulticospanstatement · cited by 199
- CategoryTheory.Limits.MulticospanIndex.multicospanstatement · cited by 167
- CategoryTheory.Limits.ConeMorphism.homstatement and proof · cited by 164
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