Theorems · Theorem · functional analysis
NormedAddGroupHom.lift_normNoninc
∀ {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),
f.NormNoninc → (NormedAddGroupHom.lift S f hf).NormNoninc- Defined in
- Mathlib.Analysis.Normed.Group.Quotient
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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
- Norm.normproof · cited by 5,413
- AddSubgroupstatement and proof · cited by 3,232
- one_mulproof · cited by 2,841
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- HasQuotient.Quotientstatement and proof · cited by 2,301
- NNReal.toRealproof · cited by 1,260
- NormedAddGroupHomstatement and proof · cited by 216
- NormedAddGroupHom.NormNonincstatement and proof · cited by 41
- NormedAddGroupHom.liftstatement and proof · cited by 6
- NormedAddGroupHom.NormNoninc.normNoninc_iff_norm_le_oneproof · cited by 4
- NormedAddGroupHom.le_of_opNorm_leproof · cited by 2
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