Theorems · Theorem · group theory
AddMonoidHom.prod_apply
∀ {M : Type u_3} {N : Type u_4} {P : Type u_5} [inst : AddZeroClass M] [inst_1 : AddZeroClass N]
[inst_2 : AddZeroClass P] (f : M →+ N) (g : M →+ P) (x : M), (f.prod g) x = (f x, g x)- Defined in
- Mathlib.Algebra.Group.Prod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddMonoidHomstatement and proof · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- AddMonoidHom.prodstatement · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- AddMonoid.Coprod.prod_mk_fst_sndproof · cited by 0