instFintypeSubtypeMemSubgroupInvMulSubgroup

English

Equivalences of membership for the subtype of invMulSubgroup components hold by simp.

Русский

Эквивалентность принадлежности элементов подмножества invMulSubgroup через упрощения simp.

LaTeX

$$$\text{Subtype} (\_ )$$$

Lean4

instance (A : Finset G) (h) : Fintype (invMulSubgroup A h) :=
  by
  simp only [invMulSubgroup, ← coe_mul, Subgroup.mem_mk, Submonoid.mem_mk, Subsemigroup.mem_mk, mem_coe]
  infer_instance

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