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Theorems · Theorem · general topology

TopologicalSpace.Compacts.isEmbedding_singleton

∀ {α : Type u_1} [inst : TopologicalSpace α], Topology.IsEmbedding fun x => {x}
Defined in
Mathlib.Topology.Sets.VietorisTopology
Cited by
6 results in Mathlib
Foundations
Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

TopologicalSpace.Compacts.continuous_singleton · cited by 1Compacts.continuous_singl…TopologicalSpace.Compacts.discreteTopology_iff · cited by 0Compacts.discreteTopology…TopologicalSpace.Compacts.t2Space_iff · cited by 0Compacts.t2Space_iffTopologicalSpace.Compacts.t3Space_iff · cited by 0Compacts.t3Space_iffTopologicalSpace.Compacts.regularSpace_iff · cited by 0Compacts.regularSpace_iffTopologicalSpace.Compacts.secondCountableTopology_iff · cited by 0Compacts.secondCountableT…TopologicalSpace · cited by 24529TopologicalSpaceTopologicalSpace.Compacts · cited by 386TopologicalSpace.CompactsTopology.IsEmbedding · cited by 294Topology.IsEmbeddingTopologicalSpace.Compacts.isEmbedding_coe · cited by 10Compacts.isEmbedding_coeTopology.IsEmbedding.of_comp_iff · cited by 9IsEmbedding.of_comp_iffTopologicalSpace.vietoris.isEmbedding_singleton · cited by 4vietoris.isEmbedding_sing…Compacts.isEmbedding_singletonCITED BYCITES

Cites6

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Cited by6

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