Theorems · Theorem · functional analysis
coe_lt_enorm
∀ {E : Type u_8} [inst : NNNorm E] {x : E} {r : NNReal}, ↑r < ‖x‖ₑ ↔ r < ‖x‖₊- Defined in
- Mathlib.Analysis.Normed.Group.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NNNorm
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement · cited by 9,879
- NNRealstatement and proof · cited by 4,310
- ENNReal.ofNNRealstatement · cited by 1,279
- NNNorm.nnnormstatement and proof · cited by 952
- ENorm.enormstatement · cited by 715
- NNNormstatement and proof · cited by 33
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