toOne — Mathlib

English

There exists a multiplicative identity in GroupNorm E, obtained by transporting the unit of the underlying GroupSeminorm.

Русский

Существуют единицы умножения в GroupNorm E, получаемые переносом единицы базовой GroupSeminorm.

LaTeX

$$There is an element $1$ in GroupNorm E corresponding to the identity of GroupSeminorm$$

Lean4

instance toOne : One (GroupNorm E) :=
  ⟨{ (1 : GroupSeminorm E) with eq_one_of_map_eq_zero' := fun _ => zero_ne_one.ite_eq_left_iff.1 }⟩

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