Theorems · Definition · functional analysis
GroupSeminormClass.toSeminormedCommGroup
{F : Type u_1} →
{α : Type u_2} →
[inst : FunLike F α ℝ] → [inst_1 : CommGroup α] → [GroupSeminormClass F α ℝ] → F → SeminormedCommGroup αConstructs a SeminormedCommGroup structure from a GroupSeminormClass on a CommGroup.
- Defined in
- Mathlib.Analysis.Normed.Order.Hom.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 114 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
- SeminormedGroupproof · cited by 250
- SeminormedCommGroupstatement · cited by 191
- GroupSeminormClassstatement and proof · cited by 9
- SeminormedGroup.dist_eqproof · cited by 2
- GroupSeminormClass.toSeminormedGroupproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- GroupSeminormClass.toSeminormedCommGroup_norm_eqstatement · cited by 0