Theorems · Definition · commutative algebra

RingHom.prodMap

{R : Type u_1} →
  {R' : Type u_2} →
    {S : Type u_3} →
      {S' : Type u_4} →
        [inst : NonAssocSemiring R] →
          [inst_1 : NonAssocSemiring S] →
            [inst_2 : NonAssocSemiring R'] →
              [inst_3 : NonAssocSemiring S'] → (R →+* R') → (S →+* S') → R × S →+* R' × S'

Prod.map as a RingHom.

Defined in

Mathlib.Algebra.Ring.Prod

Cited by

6 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Quot.sound

Assumes

NonAssocSemiringNonAssocSemiringNonAssocSemiringNonAssocSemiring