Theorems · Theorem · category theory
CategoryTheory.PreOneHypercover.sigmaOfIsColimit_Y
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {S : C} (E : CategoryTheory.PreOneHypercover S)
{c : CategoryTheory.Limits.Cofan E.X} (hc : CategoryTheory.Limits.IsColimit c) {d : CategoryTheory.Limits.Cofan E.Y'}
(hd : CategoryTheory.Limits.IsColimit d) (x x_1 : (E.sigmaOfIsColimit hc).I₀) (x_2 : PUnit.{w + 1}),
(E.sigmaOfIsColimit hc hd).Y x_2 = d.pt- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites15
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Discretestatement · cited by 2,447
- CategoryTheory.Limits.Cocone.ptstatement · cited by 1,354
- CategoryTheory.Limits.IsColimitstatement and proof · cited by 773
- CategoryTheory.PreZeroHypercover.I₀statement and proof · cited by 763
- CategoryTheory.PreZeroHypercover.Xstatement and proof · cited by 649
- CategoryTheory.Discrete.functorstatement · cited by 633
- CategoryTheory.PreOneHypercover.toPreZeroHypercoverstatement and proof · cited by 232
- CategoryTheory.PreOneHypercoverstatement and proof · cited by 180
- CategoryTheory.Limits.Cofanstatement and proof · cited by 124
- CategoryTheory.PreOneHypercover.Ystatement and proof · cited by 113
- CategoryTheory.PreOneHypercover.I₁'statement · cited by 15
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