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Theorems · Theorem · general topology

TopologicalSpace.NonemptyCompacts.nonempty

∀ {α : Type u_1} [inst : TopologicalSpace α] (s : TopologicalSpace.NonemptyCompacts α), (↑s).Nonempty
Defined in
Mathlib.Topology.Sets.Compacts
Cited by
8 results in Mathlib
Foundations
Depth 55 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpace
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TopologicalSpace.NonemptyCompacts.range_toCompacts · cited by 5NonemptyCompacts.range_to…GromovHausdorff.hausdorffDist_optimal · cited by 1GromovHausdorff.hausdorff…TopologicalSpace.NonemptyCompacts.completeSpace_iff · cited by 1NonemptyCompacts.complete…TopologicalSpace.NonemptyCompacts.isPreconnected_subsets · cited by 1NonemptyCompacts.isPrecon…TopologicalSpace.IsTopologicalBasis.nonemptyCompacts · cited by 1IsTopologicalBasis.nonemp…TopologicalSpace.NonemptyCompacts.isPreconnected_Icc · cited by 0NonemptyCompacts.isPrecon…TopologicalSpace.NonemptyCompacts.isPreconnected_finite_subsets · cited by 0NonemptyCompacts.isPrecon…TopologicalSpace.NonemptyCompacts.range_map · cited by 0NonemptyCompacts.range_mapTopologicalSpace · cited by 24529TopologicalSpaceSetLike.coe · cited by 8199SetLike.coeSet.Nonempty · cited by 2627Set.NonemptyTopologicalSpace.NonemptyCompacts · cited by 137TopologicalSpace.Nonempty…TopologicalSpace.NonemptyCompacts.nonempty' · cited by 1NonemptyCompacts.nonempty'NonemptyCompacts.nonemptyCITED BYCITES

Cites5

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Cited by8

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