English
There exists a GroupSeminormClass structure on GroupSeminorm E with evaluation to E, Real-valued; the axioms include map_one_eq_zero, map_mul_le_add, map_inv_eq_map.
Русский
Существует структура GroupSeminormClass на GroupSeminorm E с отображением в E, ℝ; аксиомы: map_one_eq_zero, map_mul_le_add, map_inv_eq_map.
LaTeX
$$\\text{GroupSeminormClass } (GroupSeminorm E) E \\mathbb{R} \\text{ with } map_one_eq_zero, map_mul_le_add, map_inv_eq_map$$
Lean4
@[to_additive]
instance groupSeminormClass : GroupSeminormClass (GroupSeminorm E) E ℝ
where
map_one_eq_zero f := f.map_one'
map_mul_le_add f := f.mul_le'
map_inv_eq_map f := f.inv'