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Theorems · Theorem · convex and discrete geometry

gaugeRescale_zero

∀ {E : Type u_1} [inst : AddCommGroup E] [inst_1 : Module ℝ E] (s t : Set E), gaugeRescale s t 0 = 0
Defined in
Mathlib.Analysis.Convex.GaugeRescale
Cited by
4 results in Mathlib
Foundations
Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommGroupModule
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

gauge_gaugeRescale · cited by 1gauge_gaugeRescalegaugeRescale_self_apply · cited by 1gaugeRescale_self_applycontinuous_gaugeRescale · cited by 0continuous_gaugeRescalegaugeRescale_gaugeRescale · cited by 0gaugeRescale_gaugeRescaleSet · cited by 53352SetReal · cited by 25697RealModule · cited by 20661ModuleAddCommGroup · cited by 12871AddCommGroupsmul_zero · cited by 665smul_zerogauge · cited by 85gaugegaugeRescale · cited by 12gaugeRescalegaugeRescale_zeroCITED BYCITES

Cites7

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
  • Modulestatement and proof · cited by 20,661
  • AddCommGroupstatement and proof · cited by 12,871
  • smul_zeroproof · cited by 665
  • gaugeproof · cited by 85
  • gaugeRescalestatement · cited by 12

Cited by4

Results whose statement or proof uses this declaration.