Theorems · Definition · group theory
MonoidHom.snd
(M : Type u_3) → (N : Type u_4) → [inst : MulOneClass M] → [inst_1 : MulOneClass N] → M × N →* N
Given monoids M, N, the natural projection homomorphism from M × N to N.
- Defined in
- Mathlib.Algebra.Group.Prod
- Cited by
- 31 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- MulOneClassMulOneClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MonoidHomstatement · cited by 3,629
- MulOneClassstatement and proof · cited by 1,018
Cited by42
Results whose statement or proof uses this declaration.
- RingHom.sndproof · cited by 39
- MonoidHom.prodMapproof · cited by 13
- MonoidWithZeroHom.sndproof · cited by 8
- MulEquiv.prodUnitsproof · cited by 7
- MonoidHom.coprodproof · cited by 7
- Subgroup.goursatFstproof · cited by 6
- Subgroup.goursatSndproof · cited by 6
- MonoidWithZeroHom.snd_inrproof · cited by 3
- Subgroup.normal_goursatSndproof · cited by 3
- OrderMonoidHom.sndproof · cited by 3
- Submonoid.top_prodstatement · cited by 2
- Group.isCyclic_prod_iffproof · cited by 2