Theorems · Theorem · general topology
interior_vadd
∀ {α : Type u_2} {G : Type u_4} [inst : TopologicalSpace α] [inst_1 : AddGroup G] [inst_2 : AddAction G α]
[ContinuousConstVAdd G α] (c : G) (s : Set α), interior (c +ᵥ s) = c +ᵥ interior s- Defined in
- Mathlib.Topology.Algebra.ConstMulAction
- Cited by
- 3 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.
Cites10
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
- AddGroupstatement and proof · cited by 4,410
- HVAdd.hVAddstatement · cited by 1,820
- AddActionstatement and proof · cited by 820
- interiorstatement · cited by 714
- Set.vaddSetstatement · cited by 403
- ContinuousConstVAddstatement and proof · cited by 97
- Homeomorph.vaddproof · cited by 14
- Homeomorph.image_interiorproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- exists_mem_interior_convexHull_affineBasisproof · cited by 2
- exists_homeomorph_image_eqproof · cited by 1
- vadd_singleton_mem_nhds_of_sigmaCompactproof · cited by 1