Theorems · Theorem · functional analysis
nndist_zero_left
∀ {E : Type u_5} [inst : SeminormedAddGroup E] (a : E), nndist 0 a = ‖a‖₊- Defined in
- Mathlib.Analysis.Normed.Group.Basic
- Cited by
- 1 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
- zero_addproof · cited by 2,366
- NNNorm.nnnormstatement and proof · cited by 952
- neg_zeroproof · cited by 542
- SeminormedAddGroupstatement and proof · cited by 331
- NNDist.nndiststatement · cited by 235
- nndist_eq_nnnorm_neg_addproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- edist_zero_leftproof · cited by 0