Theorems · Theorem · linear algebra
Matrix.norm_entry_le_entrywise_sup_norm
∀ {m : Type u_3} {n : Type u_4} {α : Type u_5} [inst : Fintype m] [inst_1 : Fintype n]
[inst_2 : SeminormedAddCommGroup α] (A : Matrix m n α) {i : m} {j : n}, ‖A i j‖ ≤ ‖A‖- 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.
Cites8
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
- LE.le.transproof · cited by 3,151
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- Matrix.seminormedAddCommGroupstatement · cited by 27
- norm_le_pi_normproof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.house.basis_repr_norm_le_const_mul_houseproof · cited by 0