Theorems · Theorem · functional analysis
NormedAddGroupHom.norm_lift_le
∀ {M : Type u_1} [inst : SeminormedAddCommGroup M] {N : Type u_3} [inst_1 : SeminormedAddCommGroup N]
(S : AddSubgroup M) (f : NormedAddGroupHom M N) (hf : ∀ s ∈ S, f s = 0), ‖NormedAddGroupHom.lift S f hf‖ ≤ ‖f‖- Defined in
- Mathlib.Analysis.Normed.Group.Quotient
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement · cited by 25,697
- Norm.normstatement · cited by 5,413
- AddSubgroupstatement and proof · cited by 3,232
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- HasQuotient.Quotientstatement · cited by 2,301
- norm_nonnegproof · cited by 725
- NormedAddGroupHomstatement and proof · cited by 216
- NormedAddGroupHom.opNorm_le_boundproof · cited by 12
- NormedAddGroupHom.liftstatement and proof · cited by 6
- QuotientAddGroup.norm_lift_apply_leproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- NormedAddGroupHom.lift_norm_leproof · cited by 2