Theorems · Definition · functional analysis
GroupNormClass.toNormedGroup
{F : Type u_1} →
{α : Type u_2} → [inst : FunLike F α ℝ] → [inst_1 : Group α] → [GroupNormClass F α ℝ] → F → NormedGroup αConstructs a NormedGroup structure from a GroupNormClass on a Group.
- Defined in
- Mathlib.Analysis.Normed.Order.Hom.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FunLikeGroupGroupNormClass
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 and proof · cited by 25,697
- Groupstatement and proof · cited by 6,238
- FunLikestatement and proof · cited by 2,560
- SeminormedGroupproof · cited by 250
- NormedGroupstatement · cited by 18
- GroupNormClassstatement and proof · cited by 6
- SeminormedGroup.dist_eqproof · cited by 2
- GroupSeminormClass.toSeminormedGroupproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- GroupNormClass.toNormedCommGroupproof · cited by 1
- GroupNormClass.toNormedGroup_norm_eqstatement · cited by 0