Theorems · Definition · functional analysis
GroupSeminormClass.toSeminormedGroup
{F : Type u_1} →
{α : Type u_2} → [inst : FunLike F α ℝ] → [inst_1 : Group α] → [GroupSeminormClass F α ℝ] → F → SeminormedGroup αConstructs a SeminormedGroup structure from a GroupSeminormClass on a Group.
- Defined in
- Mathlib.Analysis.Normed.Order.Hom.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- SeminormedGroupstatement · cited by 250
- GroupSeminormClassstatement and proof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- GroupSeminormClass.toSeminormedCommGroupproof · cited by 1
- GroupNormClass.toNormedGroupproof · cited by 1
- GroupSeminormClass.toSeminormedGroup_norm_eqstatement · cited by 0