Theorems · Inductive type · order theory
AddGroupSeminormClass
(F : Type u_7) →
(α : outParam (Type u_8)) →
(β : outParam (Type u_9)) → [AddGroup α] → [AddCommMonoid β] → [PartialOrder β] → [FunLike F α β] → PropAddGroupSeminormClass F α states that F is a type of β-valued seminorms on the additive
group α.
You should extend this class when you extend AddGroupSeminorm.
- Defined in
- Mathlib.Algebra.Order.Hom.Basic
- Cited by
- 18 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
- AddGroupstatement · cited by 4,410
- FunLikestatement · cited by 2,560
Cited by30
Results whose statement or proof uses this declaration.
- AddGroupSeminormClass.map_neg_eq_mapstatement and proof · cited by 23
- IsNonarchimedean.apply_intCast_le_onestatement and proof · cited by 3
- AddGroupSeminormClass.toSeminormedAddGroupstatement and proof · cited by 3
- map_sub_le_addstatement and proof · cited by 2
- AddGroupSeminormClass.map_zerostatement and proof · cited by 2
- IsNonarchimedean.add_eq_max_of_nestatement and proof · cited by 2
- map_neg_addstatement and proof · cited by 1
- IsNonarchimedean.add_eq_right_of_ltstatement and proof · cited by 1
- abs_sub_map_le_substatement and proof · cited by 1
- IsNonarchimedean.multiset_powerset_image_addstatement and proof · cited by 1
- le_map_add_map_sub'statement and proof · cited by 1
- map_sub_revstatement and proof · cited by 1