Theorems · Definition · ring theory

NonUnitalSubring.prod

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

Given NonUnitalSubrings s, t of rings R, S respectively, s.prod t is s ×ˢ t as a NonUnitalSubring of R × S.

Defined in

Mathlib.RingTheory.NonUnitalSubring.Basic

Cited by

9 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Quot.sound

Assumes

NonUnitalNonAssocRingNonUnitalNonAssocRing