Theorems · Definition · commutative algebra

NonUnitalRingHom.prodMap

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

Prod.map as a NonUnitalRingHom.

Defined in

Mathlib.Algebra.Ring.Prod

Cited by

3 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext, Quot.sound

Assumes

NonUnitalNonAssocSemiringNonUnitalNonAssocSemiringNonUnitalNonAssocSemiringNonUnitalNonAssocSemiring