Theorems · Theorem · general topology
TopologicalSpace.CompactOpens.map_id
∀ {α : Type u_1} [inst : TopologicalSpace α] (K : TopologicalSpace.CompactOpens α),
TopologicalSpace.CompactOpens.map id ⋯ ⋯ K = K- Defined in
- Mathlib.Topology.Sets.Compacts
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- continuous_idstatement · cited by 192
- Set.image_idproof · cited by 60
- TopologicalSpace.Compacts.carrierproof · cited by 45
- TopologicalSpace.CompactOpensstatement and proof · cited by 24
- IsOpenMap.idstatement · cited by 12
- TopologicalSpace.CompactOpens.toCompactsproof · cited by 5
- TopologicalSpace.CompactOpens.mapstatement · cited by 4
- TopologicalSpace.CompactOpens.extproof · cited by 3
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