Theorems · Theorem · convex and discrete geometry
image_gaugeRescaleHomeomorph_closure
∀ {E : Type u_1} [inst : AddCommGroup E] [inst_1 : Module ℝ E] [inst_2 : TopologicalSpace E]
[inst_3 : IsTopologicalAddGroup E] [inst_4 : ContinuousSMul ℝ E] [inst_5 : T1Space E] {s t : Set E} (hsc : Convex ℝ s)
(hs₀ : s ∈ nhds 0) (hsb : Bornology.IsVonNBounded ℝ s) (htc : Convex ℝ t) (ht₀ : t ∈ nhds 0)
(htb : Bornology.IsVonNBounded ℝ t), ⇑(gaugeRescaleHomeomorph s t hsc hs₀ hsb htc ht₀ htb) '' closure s = closure t- Defined in
- Mathlib.Analysis.Convex.GaugeRescale
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Filterstatement · cited by 8,121
- Set.imagestatement · cited by 5,609
- nhdsstatement and proof · cited by 5,554
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- closurestatement and proof · cited by 1,254
- ContinuousSMulstatement and proof · cited by 1,016
Cited by1
Results whose statement or proof uses this declaration.
- exists_homeomorph_image_eqproof · cited by 1