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Theorems · Theorem · general topology

TopologicalSpace.NonemptyCompacts.singleton_injective

∀ {α : Type u_1} [inst : TopologicalSpace α], Function.Injective fun x => {x}
Defined in
Mathlib.Topology.Sets.Compacts
Cited by
3 results in Mathlib
Foundations
Depth 64 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

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

TopologicalSpace.NonemptyCompacts.subsingleton_iff · cited by 0NonemptyCompacts.subsingl…TopologicalSpace.NonemptyCompacts.singleton_inj · cited by 0NonemptyCompacts.singleto…TopologicalSpace.NonemptyCompacts.map_injective_iff · cited by 0NonemptyCompacts.map_inje…TopologicalSpace · cited by 24529TopologicalSpaceTopologicalSpace.NonemptyCompacts · cited by 137TopologicalSpace.Nonempty…Function.Injective.of_comp · cited by 82Injective.of_compSet.singleton_injective · cited by 9Set.singleton_injectiveNonemptyCompacts.singleton_in…CITED BYCITES

Cites4

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Cited by3

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