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Theorems · Theorem · general topology

TopologicalSpace.Compacts.singleton_injective

∀ {α : Type u_1} [inst : TopologicalSpace α], Function.Injective fun x => {x}
Defined in
Mathlib.Topology.Sets.Compacts
Cited by
2 results in Mathlib
Foundations
Depth 63 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.Compacts.map_injective_iff · cited by 0Compacts.map_injective_iffTopologicalSpace.Compacts.singleton_inj · cited by 0Compacts.singleton_injTopologicalSpace · cited by 24529TopologicalSpaceTopologicalSpace.Compacts · cited by 386TopologicalSpace.CompactsFunction.Injective.of_comp · cited by 82Injective.of_compSet.singleton_injective · cited by 9Set.singleton_injectiveCompacts.singleton_injectiveCITED BYCITES

Cites4

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Cited by2

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