Theorems · Theorem · linear algebra
Matrix.nnnorm_replicateRow
∀ {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.replicateRow ι v‖₊ = ‖v‖₊- Defined in
- Mathlib.Analysis.Matrix.Normed
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- NNRealstatement · cited by 4,310
- Matrixstatement · cited by 4,303
- Finset.univproof · cited by 3,473
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- NNNorm.nnnormstatement and proof · cited by 952
- Finset.supproof · cited by 530
- Uniquestatement and proof · cited by 400
- Finset.univ_uniqueproof · cited by 94
- Finset.sup_singletonproof · cited by 42
- Matrix.replicateRowstatement · cited by 40
- Matrix.seminormedAddCommGroupstatement · cited by 27
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.norm_replicateRowproof · cited by 0