Theorems · Theorem · functional analysis
enorm_indicator_le_enorm_self
∀ {α : Type u_1} {ε : Type u_2} [inst : TopologicalSpace ε] [inst_1 : ESeminormedAddMonoid ε] {s : Set α} (f : α → ε)
(a : α), ‖s.indicator f a‖ₑ ≤ ‖f a‖ₑ- Defined in
- Mathlib.Analysis.Normed.Group.Indicator
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 118 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
- TopologicalSpacestatement and proof · cited by 24,529
- ENNRealstatement and proof · cited by 9,879
- Set.indicatorstatement · cited by 723
- ENorm.enormstatement and proof · cited by 715
- ESeminormedAddMonoidstatement and proof · cited by 133
- enorm_indicator_eq_indicator_enormproof · cited by 9
- indicator_enorm_le_enorm_selfproof · cited by 1
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