hasInv — Mathlib

English

Integer scaling induces on the quotient c.Quotient: zsmul by integers acts via the quotient map.

Русский

Целочисленное умножение порождает на факторе с помощью отображения в квадрат.

LaTeX

$$$\\mathrm{zsmul}$ action on $c.Quotient$ by $\\mathbb{Z}$ via quotient map$$

Lean4

/-- The inversion induced on the quotient by a congruence relation on a type with an
inversion. -/
@[to_additive /-- The negation induced on the quotient by an additive congruence relation on a type
    with a negation. -/
    ]
instance hasInv : Inv c.Quotient :=
  ⟨(Quotient.map' Inv.inv) fun _ _ => c.inv⟩

Похожие утверждения