Theorems · Theorem · functional analysis
le_egauge_inter
∀ {𝕜 : Type u_1} [inst : NNNorm 𝕜] {E : Type u_2} [inst_1 : SMul 𝕜 E] (s t : Set E) (x : E),
max (egauge 𝕜 s x) (egauge 𝕜 t x) ≤ egauge 𝕜 (s ∩ t) x- Defined in
- Mathlib.Analysis.Convex.EGauge
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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
- Set.inter_subset_leftproof · cited by 360
- Set.inter_subset_rightproof · cited by 329
- egaugestatement · cited by 75
- max_leproof · cited by 71
- NNNormstatement and proof · cited by 33
- egauge_antiproof · cited by 6
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