Theorems · Theorem · general topology
IsUltrametricDist.nnnorm_mul_le_max
∀ {S : Type u_1} [inst : SeminormedGroup S] [IsUltrametricDist S] (x y : S), ‖x * y‖₊ ≤ max ‖x‖₊ ‖y‖₊- Defined in
- Mathlib.Analysis.Normed.Group.Ultra
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
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
- SeminormedGroupstatement and proof · cited by 250
- IsUltrametricDiststatement and proof · cited by 177
- IsUltrametricDist.norm_mul_le_maxproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- IsUltrametricDist.nnnorm_pow_leproof · cited by 2