Theorems · Theorem · commutative algebra
Subring.center_prod
∀ {R : Type u} {S : Type v} [inst : NonAssocRing R] [inst_1 : NonAssocRing S],
Subring.center (R × S) = (Subring.center R).prod (Subring.center S)- 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
- NonAssocRingNonAssocRing
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Subringstatement · cited by 602
- NonAssocRingstatement and proof · cited by 483
- SetLike.coe_injectiveproof · cited by 374
- Subring.centerstatement and proof · cited by 28
- Subring.prodstatement and proof · cited by 11
- Set.center_prodproof · cited by 10
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