Theorems · Definition · commutative algebra

Subsemiring.prod

{R : Type u} →
  {S : Type v} →
    [inst : NonAssocSemiring R] → [inst_1 : NonAssocSemiring S] → Subsemiring R → Subsemiring S → Subsemiring (R × S)

Given Subsemirings s, t of semirings R, S respectively, s.prod t is s × t as a subsemiring of R × S.

Defined in

Mathlib.Algebra.Ring.Subsemiring.Basic

Cited by

11 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Quot.sound

Assumes

NonAssocSemiringNonAssocSemiring