Theorems · Definition · functional analysis
GroupNormClass.toNormedCommGroup
{F : Type u_1} →
{α : Type u_2} → [inst : FunLike F α ℝ] → [inst_1 : CommGroup α] → [GroupNormClass F α ℝ] → F → NormedCommGroup αConstructs a NormedCommGroup structure from a GroupNormClass on a CommGroup.
- Defined in
- Mathlib.Analysis.Normed.Order.Hom.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
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
- FunLikestatement and proof · cited by 2,560
- CommGroupstatement and proof · cited by 990
- NormedGroupproof · cited by 18
- NormedCommGroupstatement · cited by 8
- GroupNormClassstatement and proof · cited by 6
- GroupNormClass.toNormedGroupproof · cited by 1
- NormedGroup.dist_eqproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- GroupNormClass.toNormedCommGroup_norm_eqstatement · cited by 0