Theorems · Theorem · functional analysis
egauge_union
∀ {𝕜 : Type u_1} [inst : NNNorm 𝕜] {E : Type u_2} [inst_1 : SMul 𝕜 E] (s t : Set E) (x : E),
egauge 𝕜 (s ∪ t) x = min (egauge 𝕜 s x) (egauge 𝕜 t x)- Defined in
- Mathlib.Analysis.Convex.EGauge
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 127 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- ENNRealstatement · cited by 9,879
- iInfproof · cited by 1,690
- ENorm.enormproof · cited by 715
- iInf_congr_Propproof · cited by 218
- egaugestatement · cited by 75
- NNNormstatement and proof · cited by 33
- iInf_inf_eqproof · cited by 12
- Set.smul_set_unionproof · cited by 7
- iInf_orproof · cited by 5
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