Theorems · Theorem · general topology
subset_interior_smul_right
∀ {α : Type u_2} {G : Type u_4} [inst : TopologicalSpace α] [inst_1 : Group G] [inst_2 : MulAction G α]
[ContinuousConstSMul G α] {s : Set G} {t : Set α}, s • interior t ⊆ interior (s • t)- Defined in
- Mathlib.Topology.Algebra.ConstMulAction
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- interior_subsetproof · cited by 171
- isOpen_interiorproof · cited by 130
- Set.smulstatement · cited by 110
- interior_maximalproof · cited by 29
- Set.smul_subset_smul_leftproof · cited by 4
- IsOpen.smul_leftproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- subset_interior_smulproof · cited by 1
- subset_interior_mul_rightproof · cited by 0