Theorems · Theorem · functional analysis
dist_one_left
∀ {E : Type u_5} [inst : SeminormedGroup E] (a : E), dist 1 a = ‖a‖- Defined in
- Mathlib.Analysis.Normed.Group.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
- 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 and proof · cited by 25,697
- Norm.normstatement and proof · cited by 5,413
- Dist.diststatement · cited by 1,539
- SeminormedGroupstatement and proof · cited by 250
- dist_commproof · cited by 188
- dist_one_rightproof · cited by 20
Cited by6
Results whose statement or proof uses this declaration.
- dist_oneproof · cited by 5
- IsUltrametricDist.norm_mul_eq_max_of_norm_ne_normproof · cited by 3
- dist_self_mul_rightproof · cited by 2
- dist_mul_self_rightproof · cited by 1
- SeminormedGroup.tendstoUniformlyOn_oneproof · cited by 0
- QuotientGroup.norm_mk_le_normproof · cited by 0