Theorems · Theorem · functional analysis
RCLike.nnnorm_nsmul
∀ (K : Type u_1) {E : Type u_2} [inst : RCLike K] [inst_1 : NormedAddCommGroup E] [NormedSpace K E] (n : ℕ) (x : E),
‖n • x‖₊ = n • ‖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
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NNRealstatement · cited by 4,310
- RCLikestatement and proof · cited by 2,829
- NNNorm.nnnormstatement and proof · cited by 952
- nsmul_eq_mulproof · cited by 369
- Nat.cast_smul_eq_nsmulproof · cited by 110
- nnnorm_smulproof · cited by 14
- RCLike.nnnorm_natCastproof · cited by 2
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