Theorems · Theorem · functional analysis
dist_norm_norm_le_norm_neg_add
∀ {E : Type u_5} [inst : SeminormedAddGroup E] (a b : E), dist ‖a‖ ‖b‖ ≤ ‖-a + b‖- Defined in
- Mathlib.Analysis.Normed.Group.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedAddGroup
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 · cited by 5,413
- Dist.diststatement · cited by 1,539
- SeminormedAddGroupstatement and proof · cited by 331
- abs_norm_sub_norm_le_norm_neg_addproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- nndist_nnnorm_nnnorm_le_nnnorm_neg_addproof · cited by 0