Theorems · Theorem · category theory
TopologicalSpace.Opens.coe_overEquivalence_functor_obj
∀ {X : Type u} [inst : TopologicalSpace X] (U : TopologicalSpace.Opens X) (V : CategoryTheory.Over U),
↑(U.overEquivalence.functor.obj V) = Subtype.val ⁻¹' ↑V.left- Defined in
- Mathlib.Topology.Sheaves.Over
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- SetLike.coestatement and proof · cited by 8,199
- Set.preimagestatement · cited by 4,946
- TopologicalSpace.Opensstatement and proof · cited by 2,040
- CategoryTheory.Equivalence.functorstatement and proof · cited by 1,268
- CategoryTheory.Overstatement and proof · cited by 935
- CategoryTheory.Over.leftstatement · cited by 541
- TopologicalSpace.Opens.overEquivalencestatement and proof · cited by 18
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