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Theorems · Theorem · ring theory

NonUnitalSubring.center_prod

∀ {R : Type u} {S : Type v} [inst : NonUnitalNonAssocRing R] [inst_1 : NonUnitalNonAssocRing S],
  NonUnitalSubring.center (R × S) = (NonUnitalSubring.center R).prod (NonUnitalSubring.center S)
Defined in
Mathlib.RingTheory.NonUnitalSubring.Basic
Cited by
0 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NonUnitalNonAssocRingNonUnitalNonAssocRing
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SetLike.coe_injective · cited by 374SetLike.coe_injectiveNonUnitalNonAssocRing · cited by 354NonUnitalNonAssocRingNonUnitalSubring · cited by 185NonUnitalSubringNonUnitalSubring.center · cited by 13NonUnitalSubring.centerSet.center_prod · cited by 10Set.center_prodNonUnitalSubring.prod · cited by 9NonUnitalSubring.prodNonUnitalSubring.center_prodCITED BYCITES

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