Subgroup.prod_mem

∀ {G : Type u_3} [inst : CommGroup G] (K : Subgroup G) {ι : Type u_4} {t : Finset ι} {f : ι → G},
  (∀ c ∈ t, f c ∈ K) → ∏ c ∈ t, f c ∈ K

Product of elements of a subgroup of a CommGroup indexed by a Finset is in the subgroup.

Defined in: Mathlib.Algebra.Group.Subgroup.Finite
Cited by: 3 results in Mathlib
Foundations: Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommGroup

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