Theorems · Theorem · general topology
IsUnit.isClosedMap_smul
∀ {M : Type u_1} {α : Type u_2} [inst : Monoid M] [inst_1 : TopologicalSpace α] [inst_2 : MulAction M α]
[ContinuousConstSMul M α] {c : M}, IsUnit c → IsClosedMap fun x => c • x- Defined in
- Mathlib.Topology.Algebra.ConstMulAction
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
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Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Monoidstatement and proof · cited by 3,887
- IsUnitstatement and proof · cited by 1,602
- MulActionstatement and proof · cited by 1,294
- ContinuousConstSMulstatement and proof · cited by 832
- IsUnit.unitproof · cited by 252
- IsClosedMapstatement · cited by 138
- isClosedMap_smulproof · cited by 2
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