Theorems · Theorem · linear algebra
Matrix.frobenius_norm_mul
∀ {l : Type u_2} {m : Type u_3} {n : Type u_4} {α : Type u_5} [inst : Fintype l] [inst_1 : Fintype m]
[inst_2 : Fintype n] [inst_3 : RCLike α] (A : Matrix l m α) (B : Matrix m n α), ‖A * B‖ ≤ ‖A‖ * ‖B‖- Defined in
- Mathlib.Analysis.Matrix.Normed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 233 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Fintypestatement and proof · cited by 7,736
- Norm.normstatement · cited by 5,413
- Matrixstatement and proof · cited by 4,303
- RCLikestatement and proof · cited by 2,829
- Matrix.frobenius_nnnorm_mulproof · cited by 1
- Matrix.frobeniusNormedAddCommGroupstatement · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.frobeniusNormedRingproof · cited by 0