Subsemiring.list_prod_mem

∀ {R : Type u_1} [inst : Semiring R] (s : Subsemiring R) {l : List R}, (∀ x ∈ l, x ∈ s) → l.prod ∈ s

Product of a list of elements in a Subsemiring is in the Subsemiring.

Defined in: Mathlib.Algebra.Ring.Subsemiring.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Semiring

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