Theorems · Theorem · commutative algebra
Subsemiring.top_prod
∀ {R : Type u} {S : Type v} [inst : NonAssocSemiring R] [inst_1 : NonAssocSemiring S] (s : Subsemiring S),
⊤.prod s = Subsemiring.comap (RingHom.snd R S) s- Defined in
- Mathlib.Algebra.Ring.Subsemiring.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
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
- NonAssocSemiringstatement and proof · cited by 805
- Subsemiringstatement and proof · cited by 456
- RingHom.sndstatement · cited by 39
- Subsemiring.comapstatement · cited by 20
- Subsemiring.prodstatement · cited by 11
- Subsemiring.extproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- Subsemiring.top_prod_topproof · cited by 0