Theorems · Theorem · commutative algebra
Subring.top_prod
∀ {R : Type u} {S : Type v} [inst : NonAssocRing R] [inst_1 : NonAssocRing S] (s : Subring S),
⊤.prod s = Subring.comap (RingHom.snd R S) s- Defined in
- Mathlib.Algebra.Ring.Subring.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- NonAssocRingNonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- Subringstatement and proof · cited by 602
- NonAssocRingstatement and proof · cited by 483
- RingHom.sndstatement · cited by 39
- Subring.comapstatement · cited by 22
- Subring.prodstatement · cited by 11
- Subring.extproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- Subring.top_prod_topproof · cited by 0