Theorems · Theorem · functional analysis
nnnorm_sub_le
∀ {E : Type u_5} [inst : SeminormedAddGroup E] (a b : E), ‖a - b‖₊ ≤ ‖a‖₊ + ‖b‖₊- Defined in
- Mathlib.Analysis.Normed.Group.Basic
- Cited by
- 2 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.
- NNRealstatement · cited by 4,310
- NNNorm.nnnormstatement · cited by 952
- SeminormedAddGroupstatement and proof · cited by 331
- NNReal.coe_le_coeproof · cited by 73
- norm_sub_leproof · cited by 26
Cited by2
Results whose statement or proof uses this declaration.
- enorm_sub_leproof · cited by 3
- TensorProduct.nndist_tmul_leproof · cited by 0