Theorems · Theorem · general topology
interior_smul
∀ {α : Type u_2} {G : Type u_4} [inst : TopologicalSpace α] [inst_1 : Group G] [inst_2 : MulAction G α]
[ContinuousConstSMul G α] (c : G) (s : Set α), interior (c • s) = c • interior s- Defined in
- Mathlib.Topology.Algebra.ConstMulAction
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Groupstatement and proof · cited by 6,238
- MulActionstatement and proof · cited by 1,294
- ContinuousConstSMulstatement and proof · cited by 832
- interiorstatement · cited by 714
- Set.smulSetstatement · cited by 608
- Homeomorph.smulproof · cited by 21
- Homeomorph.image_interiorproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- smul_singleton_mem_nhds_of_sigmaCompactproof · cited by 1