divisionCommMonoid — Mathlib

English

If α is a DivisionCommMonoid, Finset α forms a DivisionCommMonoid under pointwise operations.

Русский

Если α — разделимый коммутативный моноид, Finset α образует разделимый коммутативный моноид под покооринованными операциями.

LaTeX

$$Finset divisionCommMonoid: [DivisionCommMonoid α] ⇒ DivisionCommMonoid (Finset α)$$

Lean4

/-- `Finset α` is a commutative division monoid under pointwise operations if `α` is. -/
@[to_additive subtractionCommMonoid /--
    `Finset α` is a commutative subtraction monoid under pointwise operations if `α` is. -/
    ]
protected def divisionCommMonoid [DivisionCommMonoid α] : DivisionCommMonoid (Finset α) :=
  coe_injective.divisionCommMonoid _ coe_one coe_mul coe_inv coe_div coe_pow coe_zpow

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