Theorems · Theorem · functional analysis
norm_div_le
∀ {E : Type u_5} [inst : SeminormedGroup E] (a b : E), ‖a / b‖ ≤ ‖a‖ + ‖b‖- Defined in
- Mathlib.Analysis.Normed.Group.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 98 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.
Cites6
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
- div_eq_mul_invproof · cited by 715
- SeminormedGroupstatement and proof · cited by 250
- norm_inv'proof · cited by 23
- norm_mul_le'proof · cited by 15
Cited by3
Results whose statement or proof uses this declaration.
- norm_le_mul_norm_addproof · cited by 2
- nnnorm_div_leproof · cited by 1
- norm_div_le_of_leproof · cited by 0