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Theorems · Theorem · ring theory

NonUnitalSubring.mem_prod

∀ {R : Type u} {S : Type v} [inst : NonUnitalNonAssocRing R] [inst_1 : NonUnitalNonAssocRing S] {s : NonUnitalSubring R}
  {t : NonUnitalSubring S} {p : R × S}, p ∈ s.prod t ↔ p.1 ∈ s ∧ p.2 ∈ t
Defined in
Mathlib.RingTheory.NonUnitalSubring.Basic
Cited by
0 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Quot.sound
Assumes
NonUnitalNonAssocRingNonUnitalNonAssocRing
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NonUnitalNonAssocRing · cited by 354NonUnitalNonAssocRingNonUnitalSubring · cited by 185NonUnitalSubringNonUnitalSubring.prod · cited by 9NonUnitalSubring.prodNonUnitalSubring.mem_prodCITED BYCITES

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