Theorems · Theorem · convex and discrete geometry
gauge_gaugeRescale
∀ {E : Type u_1} [inst : AddCommGroup E] [inst_1 : Module ℝ E] [inst_2 : TopologicalSpace E] [T1Space E] (s : Set E)
{t : Set E}, Absorbent ℝ t → Bornology.IsVonNBounded ℝ t → ∀ (x : E), gauge t (gaugeRescale s t x) = gauge s x- Defined in
- Mathlib.Analysis.Convex.GaugeRescale
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- 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
- LT.lt.ne'proof · cited by 1,417
- eq_or_neproof · cited by 1,117
- T1Spacestatement and proof · cited by 275
- Bornology.IsVonNBoundedstatement and proof · cited by 136
- gaugestatement and proof · cited by 85
- Absorbentstatement and proof · cited by 60
- gaugeRescalestatement · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- continuous_gaugeRescaleproof · cited by 0