addGroupWithOne — Mathlib

English

There is a canonical AddGroupWithOne structure on CauSeq, built via injective transfer from the base sequences.

Русский

Существует каноническая структура AddGroupWithOne на CauSeq, получаемая инъективно из базовых последовательностей.

LaTeX

$$$$ \\text{AddGroupWithOne } (CauSeq\\, β\\, abv) $$$$

Lean4

instance addGroupWithOne : AddGroupWithOne (CauSeq β abv) :=
  Function.Injective.addGroupWithOne Subtype.val Subtype.val_injective rfl rfl coe_add coe_neg coe_sub (by intros; rfl)
    (by intros; rfl) (by intros; rfl) (by intros; rfl)

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