Theorems · Theorem · functional analysis
nndist_smul_le
∀ {α : Type u_1} {β : Type u_2} [inst : SeminormedAddGroup α] [inst_1 : SeminormedAddGroup β]
[inst_2 : SMulZeroClass α β] [IsBoundedSMul α β] (s : α) (x y : β), nndist (s • x) (s • y) ≤ ‖s‖₊ * nndist x y- Defined in
- Mathlib.Analysis.Normed.MulAction
- Cited by
- 0 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.
Cites7
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
- SeminormedAddGroupstatement and proof · cited by 331
- IsBoundedSMulstatement and proof · cited by 329
- NNDist.nndiststatement · cited by 235
- SMulZeroClassstatement and proof · cited by 213
- dist_smul_leproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.