Structures · Algebra
AddGroupSeminormClass
AddGroupSeminormClass 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
- Shape
- 3 explicit arguments · adds map_zero, map_neg_eq_map
Extends1
Extended by4
Concrete types that are instances2
- AddGroupSeminorm
- AbsoluteValue
How is a type an instance?
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Assumed by23
- AddGroupSeminormClass.map_neg_eq_map
- AddGroupSeminormClass.toSeminormedAddGroup
- IsNonarchimedean.apply_intCast_le_one
- map_sub_le_add
- AddGroupSeminormClass.map_zero
- IsNonarchimedean.add_eq_max_of_ne
- map_neg_add
- abs_sub_map_le_sub
- IsNonarchimedean.add_eq_left_of_lt
- AddGroupSeminormClass.toSeminormedAddCommGroup
- le_map_add_map_sub'
- IsNonarchimedean.add_eq_right_of_lt
- map_sub_rev
- IsNonarchimedean.multiset_powerset_image_add
- AddGroupSeminormClass.isUltrametricDist
- IsNonarchimedean.finset_powerset_image_add
- IsNonarchimedean.apply_intCast_le_one_of_isNonarchimedean
- AddGroupSeminormClass.toSeminormedAddCommGroup_norm_eq
- AddGroupSeminormClass.toSubadditiveHomClass
- AddGroupSeminormClass.toSeminormedAddGroup_norm_eq
- AddGroupSeminormClass.toSeminormedAddGroup.congr_simp
- AddGroupSeminormClass.toNonnegHomClass
- AddGroupSeminormClass.toZeroHomClass