Theorems · Theorem · functional analysis
RCLike.nnnorm_nnqsmul
∀ (K : Type u_1) {E : Type u_2} [inst : RCLike K] [inst_1 : NormedField E] [inst_2 : CharZero E] [NormedSpace K E]
(q : ℚ≥0) (x : E), ‖q • x‖₊ = q • ‖x‖₊- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedSpacestatement and proof · cited by 12,499
- NNRealstatement · cited by 4,310
- RCLikestatement and proof · cited by 2,829
- NormedFieldstatement and proof · cited by 1,084
- NNNorm.nnnormstatement and proof · cited by 952
- CharZerostatement and proof · cited by 932
- NNRatstatement and proof · cited by 523
- NNRat.castproof · cited by 235
- nnnorm_smulproof · cited by 14
- NNRat.cast_smul_eq_nnqsmulproof · cited by 5
- RCLike.nnnorm_nnratCastproof · cited by 1
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