Theorems · Theorem · category theory
TopCat.Presheaf.generateEquivalenceOpensLe_functor
∀ {X : TopCat} {ι : Type u_2} (U : ι → TopologicalSpace.Opens ↑X) {Y : TopologicalSpace.Opens ↑X} (hY : Y = iSup U),
(TopCat.Presheaf.generateEquivalenceOpensLe U hY).functor = TopCat.Presheaf.generateEquivalenceOpensLe_functor' U- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functorstatement · cited by 16,252
- TopCat.carrierstatement and proof · cited by 3,184
- iSupstatement and proof · cited by 2,415
- TopologicalSpace.Opensstatement and proof · cited by 2,040
- TopCatstatement and proof · cited by 1,889
- CategoryTheory.Equivalence.functorstatement and proof · cited by 1,268
- CategoryTheory.Overstatement · cited by 935
- CategoryTheory.ObjectProperty.FullSubcategorystatement · cited by 726
- CategoryTheory.Over.leftstatement · cited by 541
- CategoryTheory.Sieve.arrowsstatement · cited by 446
- CategoryTheory.Over.homstatement · cited by 370
- CategoryTheory.Sieve.generatestatement · cited by 117
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