Theorems · Theorem · category theory
CategoryTheory.PreZeroHypercover.mem_iff_of_iso
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {K : CategoryTheory.Precoverage C} [K.IsStableUnderComposition]
[K.HasIsos] {X : C} {E F : CategoryTheory.PreZeroHypercover X} (e : E ≅ F),
E.presieve₀ ∈ K.coverings X ↔ F.presieve₀ ∈ K.coverings X- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.Presievestatement · cited by 449
- CategoryTheory.PreZeroHypercoverstatement and proof · cited by 256
- CategoryTheory.Precoveragestatement and proof · cited by 204
- CategoryTheory.Precoverage.coveringsstatement and proof · cited by 194
- CategoryTheory.PreZeroHypercover.presieve₀statement and proof · cited by 70
- CategoryTheory.Precoverage.IsStableUnderCompositionstatement and proof · cited by 23
- CategoryTheory.Precoverage.HasIsosstatement and proof · cited by 21
- CategoryTheory.PreZeroHypercover.mem_of_isoproof · cited by 1
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