Theorems · Theorem · general topology
TopologicalSpace.Compacts.equiv_refl
∀ {α : Type u_1} [inst : TopologicalSpace α],
TopologicalSpace.Compacts.equiv (Homeomorph.refl α) = Equiv.refl (TopologicalSpace.Compacts α)- Defined in
- Mathlib.Topology.Sets.Compacts
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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Cites8
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
- Equivstatement · cited by 8,337
- TopologicalSpace.Compactsstatement · cited by 386
- Equiv.reflstatement · cited by 274
- Equiv.extproof · cited by 102
- Homeomorph.reflstatement · cited by 25
- TopologicalSpace.Compacts.equivstatement · cited by 7
- TopologicalSpace.Compacts.map_idproof · cited by 1
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