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Theorems · Definition · ring theory

NonUnitalSubring.prodEquiv

{R : Type u} →
  {S : Type v} →
    [inst : NonUnitalNonAssocRing R] →
      [inst_1 : NonUnitalNonAssocRing S] → (s : NonUnitalSubring R) → (t : NonUnitalSubring S) → ↥(s.prod t) ≃+* ↥s × ↥t

Product of NonUnitalSubrings is isomorphic to their product as rings.

Defined in
Mathlib.RingTheory.NonUnitalSubring.Basic
Cited by
0 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Quot.sound
Assumes
NonUnitalNonAssocRingNonUnitalNonAssocRing
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Equiv · cited by 8337EquivSetLike.coe · cited by 8199SetLike.coeSet.Elem · cited by 7166Set.ElemSProd.sprod · cited by 1750SProd.sprodRingEquiv · cited by 1147RingEquivNonUnitalNonAssocRing · cited by 354NonUnitalNonAssocRingNonUnitalSubring · cited by 185NonUnitalSubringNonUnitalSubring.prod · cited by 9NonUnitalSubring.prodEquiv.Set.prod · cited by 9Set.prodNonUnitalSubring.prodEquivCITED BYCITES

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