Theorems · Theorem · category theory
TopCat.exists_mem_zeroHypercover_range
∀ {X : TopCat} (E : TopCat.precoverage.ZeroHypercover X) (x : ↑X),
∃ i, x ∈ Set.range ⇑(CategoryTheory.ConcreteCategory.hom (E.f i))- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Set.rangestatement · cited by 4,705
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- TopCat.carrierstatement and proof · cited by 3,184
- ContinuousMapstatement · cited by 2,491
- TopCatstatement and proof · cited by 1,889
- CategoryTheory.PreZeroHypercover.I₀statement and proof · cited by 763
- CategoryTheory.PreZeroHypercover.Xstatement · cited by 649
- CategoryTheory.PreZeroHypercover.fstatement and proof · cited by 542
- CategoryTheory.Precoverage.ZeroHypercover.toPreZeroHypercoverstatement and proof · cited by 469
- CategoryTheory.ToTypeproof · cited by 219
Cited by1
Results whose statement or proof uses this declaration.
- TopCat.precoverage_le_comap_uliftFunctorproof · cited by 0