Theorems · Theorem · functional analysis
dist_one
∀ {E : Type u_5} [inst : SeminormedGroup E], dist 1 = norm- Defined in
- Mathlib.Analysis.Normed.Group.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- SeminormedGroup
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
- SeminormedGroupstatement and proof · cited by 250
- dist_one_leftproof · cited by 6
Cited by5
Results whose statement or proof uses this declaration.
- norm_div_revproof · cited by 3
- IsUltrametricDist.norm_mul_eq_max_of_norm_ne_normproof · cited by 3
- QuotientGroup.norm_lt_iffproof · cited by 2
- lipschitzWith_one_norm'proof · cited by 2
- QuotientGroup.le_norm_iffproof · cited by 0