Theorems · Theorem · commutative algebra
Ideal.map_snd_prod
∀ {R : Type u} {S : Type v} [inst : Semiring R] [inst_1 : Semiring S] (I : Ideal R) (J : Ideal S),
Ideal.map (RingHom.snd R S) (I.prod J) = J- Defined in
- Mathlib.RingTheory.Ideal.Prod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Idealstatement and proof · cited by 4,748
- Ideal.mapstatement · cited by 692
- Ideal.extproof · cited by 131
- RingHom.sndstatement and proof · cited by 39
- Ideal.zero_memproof · cited by 37
- Ideal.prodstatement and proof · cited by 28
- Prod.snd_surjectiveproof · cited by 22
- Ideal.mem_map_iff_of_surjectiveproof · cited by 19
Cited by1
Results whose statement or proof uses this declaration.
- Ideal.map_prodComm_prodproof · cited by 2