Theorems · Theorem · functional analysis
egauge_univ
∀ {𝕜 : Type u_1} [inst : NormedDivisionRing 𝕜] {E : Type u_2} [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E] {x : E}
[(nhdsWithin 0 {0}ᶜ).NeBot], egauge 𝕜 Set.univ x = 0- Defined in
- Mathlib.Analysis.Convex.EGauge
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- ENNRealstatement · cited by 9,879
- Set.univstatement · cited by 3,945
- Compl.complstatement and proof · cited by 2,925
- nhdsWithinstatement and proof · cited by 1,912
- Filter.NeBotstatement and proof · cited by 853
- NormedDivisionRingstatement and proof · cited by 360
- egaugestatement · cited by 75
- Filter.Frequently.monoproof · cited by 64
- Filter.frequently_iff_neBotproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- Asymptotics.IsLittleOTVS.zeroproof · cited by 5
- Asymptotics.IsLittleOTVS.botproof · cited by 1