Theorems · Theorem · category theory
CategoryTheory.PreZeroHypercover.mem_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
- 1 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
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.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.Isostatement and proof · cited by 3,963
- le_antisymmproof · cited by 2,068
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.PreZeroHypercover.I₀proof · cited by 763
- CategoryTheory.PreZeroHypercover.Xproof · cited by 649
- CategoryTheory.PreZeroHypercover.fproof · cited by 542
- CategoryTheory.Presievestatement and proof · cited by 449
- CategoryTheory.PreZeroHypercoverstatement and proof · cited by 256
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.PreZeroHypercover.mem_iff_of_isoproof · cited by 0