Theorems · Theorem · functional analysis
egauge_zero_left
∀ (𝕜 : Type u_1) [inst : NNNorm 𝕜] [Nonempty 𝕜] {E : Type u_2} [inst_2 : Zero E] [inst_3 : SMulZeroClass 𝕜 E] {x : E},
x ≠ 0 → egauge 𝕜 0 x = ⊤Alias of the reverse direction of egauge_zero_left_eq_top.
- Defined in
- Mathlib.Analysis.Convex.EGauge
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- ENNRealstatement · cited by 9,879
- Top.topstatement · cited by 9,680
- SMulZeroClassstatement and proof · cited by 213
- Set.zerostatement · cited by 87
- egaugestatement · cited by 75
- NNNormstatement and proof · cited by 33
- egauge_zero_left_eq_topproof · cited by 1
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