Theorems · Theorem · commutative algebra
Subring.coe_prod
∀ {R : Type u} {S : Type v} [inst : NonAssocRing R] [inst_1 : NonAssocRing S] (s : Subring R) (t : Subring S),
↑(s.prod t) = ↑s ×ˢ ↑t- Defined in
- Mathlib.Algebra.Ring.Subring.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
- Assumes
- NonAssocRingNonAssocRing
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SetLike.coestatement · cited by 8,199
- SProd.sprodstatement · cited by 1,750
- Subringstatement and proof · cited by 602
- NonAssocRingstatement and proof · cited by 483
- Subring.prodstatement · cited by 11
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