Theorems · Theorem · linear algebra
Matrix.nnnorm_diagonal
∀ {n : Type u_4} {α : Type u_5} [inst : Fintype n] [inst_1 : SeminormedAddCommGroup α] [inst_2 : DecidableEq n]
(v : n → α), ‖Matrix.diagonal 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.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- NNRealstatement and proof · cited by 4,310
- Matrixstatement · cited by 4,303
- Finset.univproof · cited by 3,473
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- le_antisymmproof · cited by 2,068
- le_reflproof · cited by 2,061
- eq_or_neproof · cited by 1,117
- OrderBotproof · cited by 1,055
- NNNorm.nnnormstatement and proof · cited by 952
- SemilatticeSupproof · cited by 785
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.norm_diagonalproof · cited by 0