Theorems · Theorem · functional analysis
nndist_zero_right
∀ {E : Type u_5} [inst : SeminormedAddGroup E] (a : E), nndist a 0 = ‖a‖₊- Defined in
- Mathlib.Analysis.Normed.Group.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 115 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRealstatement · cited by 4,310
- add_zeroproof · cited by 2,707
- NNNorm.nnnormstatement and proof · cited by 952
- SeminormedAddGroupstatement and proof · cited by 331
- NNDist.nndiststatement · cited by 235
- nnnorm_negproof · cited by 13
- nndist_eq_nnnorm_neg_addproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- edist_zero_rightproof · cited by 25
- PiLp.nnnorm_apply_leproof · cited by 0
- WithLp.nnnorm_fst_leproof · cited by 0
- WithLp.nnnorm_snd_leproof · cited by 0