Theorems · Theorem · functional analysis
SeparationQuotient.liftNormedAddGroupHom_normNoninc
∀ {M : Type u_1} [inst : SeminormedAddCommGroup M] {N : Type u_3} [inst_1 : SeminormedAddCommGroup N]
(f : NormedAddGroupHom M N) (hf : ∀ (s : M), ‖s‖ = 0 → f s = 0),
f.NormNoninc → (SeparationQuotient.liftNormedAddGroupHom f hf).NormNoninc- Cited by
- 0 results in Mathlib
- Foundations
- Depth 168 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
- Realstatement · cited by 25,697
- Norm.normstatement and proof · cited by 5,413
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- le_transproof · cited by 985
- norm_nonnegproof · cited by 725
- NormedAddGroupHomstatement and proof · cited by 216
- SeparationQuotientstatement and proof · cited by 128
- NormedAddGroupHom.NormNonincstatement and proof · cited by 41
- mul_le_of_le_one_leftproof · cited by 37
- SeparationQuotient.liftNormedAddGroupHomstatement · cited by 6
- NormedAddGroupHom.NormNoninc.normNoninc_iff_norm_le_oneproof · cited by 4
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