Theorems · Theorem · functional analysis
norm_le_mul_norm_add
∀ {E : Type u_5} [inst : SeminormedGroup E] (u v : E), ‖u‖ ≤ ‖u * v‖ + ‖v‖- Defined in
- Mathlib.Analysis.Normed.Group.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Norm.normstatement and proof · cited by 5,413
- SeminormedGroupstatement and proof · cited by 250
- mul_div_cancel_rightproof · cited by 10
- norm_div_leproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- norm_mul_eq_norm_leftproof · cited by 2
- nnnorm_le_mul_nnnorm_addproof · cited by 0