Theorems · Inductive type · order theory
GroupSeminormClass
(F : Type u_7) →
(α : outParam (Type u_8)) →
(β : outParam (Type u_9)) → [Group α] → [AddCommMonoid β] → [PartialOrder β] → [FunLike F α β] → PropGroupSeminormClass F α states that F is a type of β-valued seminorms on the group α.
You should extend this class when you extend GroupSeminorm.
- Defined in
- Mathlib.Algebra.Order.Hom.Basic
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement · cited by 12,281
- PartialOrderstatement · cited by 6,410
- Groupstatement · cited by 6,238
- FunLikestatement · cited by 2,560
Cited by15
Results whose statement or proof uses this declaration.
- GroupSeminormClass.map_inv_eq_mapstatement and proof · cited by 3
- GroupSeminormClass.map_one_eq_zerostatement and proof · cited by 2
- map_div_revstatement and proof · cited by 1
- GroupSeminormClass.toSeminormedCommGroupstatement and proof · cited by 1
- GroupSeminormClass.toSeminormedGroupstatement and proof · cited by 1
- le_map_add_map_div'statement and proof · cited by 1
- abs_sub_map_le_divstatement and proof · cited by 0
- map_div_le_addstatement and proof · cited by 0
- map_inv_mulstatement and proof · cited by 0
- GroupNormClass.casesOnstatement and proof · cited by 0
- GroupNormClass.recOnstatement and proof · cited by 0
- GroupSeminormClass.casesOnstatement and proof · cited by 0