Theorems · Definition · group theory
Monoid.Coprod
(M : Type u_1) → (N : Type u_2) → [MulOneClass M] → [MulOneClass N] → Type (max u_1 u_2)
Coproduct of two monoids or groups.
- Defined in
- Mathlib.GroupTheory.Coprod.Basic
- Cited by
- 109 results in Mathlib
- Foundations
- Depth 40 from the axioms, rests on 467 definitions · uses propext, Quot.sound
- Assumes
- MulOneClassMulOneClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulOneClassstatement and proof · cited by 1,018
- Con.Quotientproof · cited by 48
- Monoid.coprodConproof · cited by 3
Cited by129
Results whose statement or proof uses this declaration.
- Monoid.Coprod.inlstatement · cited by 48
- Monoid.Coprod.inrstatement · cited by 47
- Monoid.Coprod.swapstatement · cited by 25
- Monoid.Coprod.mkstatement · cited by 16
- Monoid.Coprod.sndstatement · cited by 15
- Monoid.Coprod.fststatement · cited by 15
- Monoid.Coprod.hom_extstatement and proof · cited by 14
- Monoid.Coprod.liftstatement · cited by 13
- Monoid.Coprod.mapstatement · cited by 12
- Monoid.Coprod.toProdstatement · cited by 11
- MulEquiv.coprodAssocstatement · cited by 6
- Monoid.Coprod.cliftstatement · cited by 5