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Theorems · Theorem · general topology

TopologicalSpace.Compacts.ext

∀ {α : Type u_1} [inst : TopologicalSpace α] {s t : TopologicalSpace.Compacts α}, ↑s = ↑t → s = t
Defined in
Mathlib.Topology.Sets.Compacts
Cited by
9 results in Mathlib
Foundations
Depth 55 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

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MeasureTheory.Content.innerContent_bot · cited by 3Content.innerContent_botMeasureTheory.Content.innerContent_iSup_nat · cited by 3Content.innerContent_iSup…TopologicalSpace.Compacts.range_map · cited by 2Compacts.range_mapTopologicalSpace.Compacts.map_comp · cited by 1Compacts.map_compTopologicalSpace.Compacts.map_id · cited by 1Compacts.map_idTopologicalSpace.Compacts.map_singleton · cited by 1Compacts.map_singletonContinuous.compacts_map' · cited by 1Continuous.compacts_map'TopologicalSpace.Compacts.singleton_prod_singleton · cited by 0Compacts.singleton_prod_s…TopologicalSpace.Compacts.ext_iff · cited by 0Compacts.ext_iffSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceSetLike.coe · cited by 8199SetLike.coeTopologicalSpace.Compacts · cited by 386TopologicalSpace.CompactsSetLike.ext' · cited by 60SetLike.ext'Compacts.extCITED BYCITES

Cites5

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Cited by9

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