Theorems · Theorem · group theory
MonoidHom.noncommCoprod_unique
∀ {M : Type u_1} {N : Type u_2} {P : Type u_3} [inst : MulOneClass M] [inst_1 : MulOneClass N] [inst_2 : Monoid P]
(f : M × N →* P), (f.comp (MonoidHom.inl M N)).noncommCoprod (f.comp (MonoidHom.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
- Assumes
- MulOneClassMulOneClassMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Monoidstatement and proof · cited by 3,887
- mul_oneproof · cited by 3,885
- MonoidHomstatement and proof · cited by 3,629
- one_mulproof · cited by 2,841
- MulOneClassstatement and proof · cited by 1,018
- MonoidHom.compstatement and proof · cited by 469
- MonoidHom.extproof · cited by 109
- Prod.mk.etaproof · cited by 84
- MonoidHom.inlstatement and proof · cited by 32
- MonoidHom.inrstatement and proof · cited by 32
- Commute.mapstatement and proof · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- MonoidHom.noncommCoprod_inl_inrproof · cited by 0