Theorems · Theorem · linear algebra
Matrix.frobenius_norm_replicateRow
∀ {m : Type u_3} {α : Type u_5} {ι : Type u_7} [inst : Fintype m] [inst_1 : Unique ι]
[inst_2 : SeminormedAddCommGroup α] (v : m → α), ‖Matrix.replicateRow ι v‖ = ‖WithLp.toLp 2 v‖- Defined in
- Mathlib.Analysis.Matrix.Normed
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 232 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- ENNRealstatement · cited by 9,879
- Fintypestatement and proof · cited by 7,736
- Norm.normstatement and proof · cited by 5,413
- Finset.sumproof · cited by 5,195
- Matrixstatement · cited by 4,303
- Finset.univproof · cited by 3,473
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- Finset.sum_congrproof · cited by 2,323
- Uniquestatement and proof · cited by 400
- WithLpstatement · cited by 345
- WithLp.ofLpproof · cited by 323
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.frobenius_nnnorm_replicateRowproof · cited by 0