Theorems · Theorem · group theory
AddMonoidHom.coprod_comp_inl
∀ {M : Type u_3} {N : Type u_4} {P : Type u_5} [inst : AddZeroClass M] [inst_1 : AddZeroClass N]
[inst_2 : AddCommMonoid P] (f : M →+ P) (g : N →+ P), (f.coprod g).comp (AddMonoidHom.inl M N) = f- Defined in
- Mathlib.Algebra.Group.Prod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- AddMonoidHomstatement and proof · cited by 3,230
- add_zeroproof · cited by 2,707
- map_zeroproof · cited by 1,614
- AddZeroClassstatement and proof · cited by 1,237
- AddMonoidHom.compstatement · cited by 339
- AddMonoidHom.extproof · cited by 149
- AddMonoidHom.inlstatement · cited by 29
- AddMonoidHom.coprodstatement · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- AddSubmonoid.sup_eq_rangeproof · cited by 1