Theorems · Theorem · group theory
AddMonoidHom.noncommCoprod_unique
∀ {M : Type u_1} {N : Type u_2} {P : Type u_3} [inst : AddZeroClass M] [inst_1 : AddZeroClass N] [inst_2 : AddMonoid P]
(f : M × N →+ P), (f.comp (AddMonoidHom.inl M N)).noncommCoprod (f.comp (AddMonoidHom.inr M N)) ⋯ = f- Defined in
- Mathlib.GroupTheory.NoncommCoprod
- 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.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddMonoidHomstatement and proof · cited by 3,230
- AddMonoidstatement and proof · cited by 2,864
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- AddZeroClassstatement and proof · cited by 1,237
- map_addproof · cited by 964
- AddMonoidHom.compstatement and proof · cited by 339
- AddMonoidHom.extproof · cited by 149
- Prod.mk.etaproof · cited by 84
- AddMonoidHom.inlstatement and proof · cited by 29
- AddMonoidHom.inrstatement and proof · cited by 29
Cited by1
Results whose statement or proof uses this declaration.
- AddMonoidHom.noncommCoprod_inl_inrproof · cited by 0