Theorems · Theorem · commutative algebra

RingHom.range_prodMap

∀ {R : Type u} {S : Type v} [inst : NonAssocRing R] [inst_1 : NonAssocRing S] {R' : Type u_1} {S' : Type u_2}
  [inst_2 : Ring R'] [inst_3 : Ring S'] (f : R →+* S) (g : R' →+* S'), (f.prodMap g).range = f.range.prod g.range

Defined in

Mathlib.Algebra.Ring.Subring.Basic

Cited by

0 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NonAssocRingNonAssocRingRingRing