Theorems · Inductive type · order theory
GroupNormClass
(F : Type u_7) →
(α : outParam (Type u_8)) →
(β : outParam (Type u_9)) → [Group α] → [AddCommMonoid β] → [PartialOrder β] → [FunLike F α β] → PropGroupNormClass F α states that F is a type of β-valued norms on the group α.
You should extend this class when you extend GroupNorm.
- Defined in
- Mathlib.Algebra.Order.Hom.Basic
- Cited by
- 6 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 by10
Results whose statement or proof uses this declaration.
- GroupNormClass.eq_one_of_map_eq_zerostatement and proof · cited by 1
- GroupNormClass.toNormedCommGroupstatement and proof · cited by 1
- GroupNormClass.toNormedGroupstatement and proof · cited by 1
- map_eq_zero_iff_eq_onestatement and proof · cited by 1
- map_ne_zero_iff_ne_onestatement and proof · cited by 1
- GroupNormClass.casesOnstatement and proof · cited by 0
- GroupNormClass.recOnstatement and proof · cited by 0
- GroupNormClass.toNormedCommGroup_norm_eqstatement and proof · cited by 0
- GroupNormClass.toNormedGroup_norm_eqstatement and proof · cited by 0
- map_pos_of_ne_onestatement and proof · cited by 0