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Theorems · Theorem · general topology

TopologicalSpace.Compacts.map_id

∀ {α : Type u_1} [inst : TopologicalSpace α] (K : TopologicalSpace.Compacts α), TopologicalSpace.Compacts.map id ⋯ K = K
Defined in
Mathlib.Topology.Sets.Compacts
Cited by
1 results in Mathlib
Foundations
Depth 74 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.equiv_refl · cited by 0Compacts.equiv_reflTopologicalSpace · cited by 24529TopologicalSpaceTopologicalSpace.Compacts · cited by 386TopologicalSpace.Compactscontinuous_id · cited by 192continuous_idSet.image_id · cited by 60Set.image_idTopologicalSpace.Compacts.carrier · cited by 45Compacts.carrierTopologicalSpace.Compacts.map · cited by 37Compacts.mapTopologicalSpace.Compacts.ext · cited by 9Compacts.extCompacts.map_idCITED BYCITES

Cites7

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Cited by1

Results whose statement or proof uses this declaration.