Theorems · Theorem · functional analysis
NormedAddGroupHom.NormNoninc.normNoninc_iff_norm_le_one
∀ {V : Type u_1} {W : Type u_2} [inst : SeminormedAddCommGroup V] [inst_1 : SeminormedAddCommGroup W]
{f : NormedAddGroupHom V W}, f.NormNoninc ↔ ‖f‖ ≤ 1- Defined in
- Mathlib.Analysis.Normed.Group.Hom
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement · cited by 25,697
- Norm.normstatement and proof · cited by 5,413
- one_mulproof · cited by 2,841
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- zero_le_oneproof · cited by 316
- NormedAddGroupHomstatement and proof · cited by 216
- NormedAddGroupHom.NormNonincstatement and proof · cited by 41
- NormedAddGroupHom.opNorm_le_boundproof · cited by 12
- NormedAddGroupHom.le_of_opNorm_leproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- SeparationQuotient.liftNormedAddGroupHom_normNonincproof · cited by 0
- SemiNormedGrp.explicitCokernelDesc_normNonincproof · cited by 0
- NormedAddGroupHom.lift_normNonincproof · cited by 0
- SemiNormedGrp.completion.map_normNonincproof · cited by 0