Theorems · Theorem · linear algebra
Matrix.frobenius_nnnorm_replicateCol
∀ {n : Type u_4} {α : Type u_5} {ι : Type u_7} [inst : Fintype n] [inst_1 : Unique ι]
[inst_2 : SeminormedAddCommGroup α] (v : n → α), ‖Matrix.replicateCol ι v‖₊ = ‖WithLp.toLp 2 v‖₊- Defined in
- Mathlib.Analysis.Matrix.Normed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 233 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement · cited by 9,879
- Fintypestatement and proof · cited by 7,736
- NNRealstatement · cited by 4,310
- Matrixstatement · cited by 4,303
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- NNNorm.nnnormstatement · cited by 952
- Uniquestatement and proof · cited by 400
- WithLpstatement · cited by 345
- Matrix.replicateColstatement · cited by 42
- Matrix.frobeniusSeminormedAddCommGroupstatement · cited by 18
- Matrix.frobenius_norm_replicateColproof · cited by 1
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