Theorems · Theorem · functional analysis
comap_norm_nhds_one
∀ {E : Type u_4} [inst : SeminormedGroup E], Filter.comap norm (nhds 0) = nhds 1- Defined in
- Mathlib.Analysis.Normed.Group.Continuity
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Filterstatement · cited by 8,121
- nhdsstatement and proof · cited by 5,554
- Norm.normstatement · cited by 5,413
- Filter.comapstatement and proof · cited by 546
- SeminormedGroupstatement and proof · cited by 250
- dist_one_rightproof · cited by 20
- nhds_comap_distproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- comap_norm_nhdsGT_zero'proof · cited by 0