Theorems · Definition · group theory
AddMonoid.Coprod
(M : Type u_1) → (N : Type u_2) → [AddZeroClass M] → [AddZeroClass N] → Type (max u_1 u_2)
Coproduct of two additive monoids or groups.
- Defined in
- Mathlib.GroupTheory.Coprod.Basic
- Cited by
- 104 results in Mathlib
- Foundations
- Depth 40 from the axioms, rests on 467 definitions · uses propext, Quot.sound
- Assumes
- AddZeroClassAddZeroClass
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.
- AddZeroClassstatement and proof · cited by 1,237
- AddCon.Quotientproof · cited by 54
- AddMonoid.coprodConproof · cited by 3
Cited by120
Results whose statement or proof uses this declaration.
- AddMonoid.Coprod.inlstatement · cited by 42
- AddMonoid.Coprod.inrstatement · cited by 42
- AddMonoid.Coprod.swapstatement · cited by 25
- AddMonoid.Coprod.mkstatement · cited by 16
- AddMonoid.Coprod.fststatement · cited by 15
- AddMonoid.Coprod.sndstatement · cited by 15
- AddMonoid.Coprod.liftstatement · cited by 13
- AddMonoid.Coprod.hom_extstatement and proof · cited by 12
- AddMonoid.Coprod.mapstatement · cited by 12
- AddMonoid.Coprod.toProdstatement · cited by 11
- AddEquiv.coprodAssocstatement · cited by 6
- AddMonoid.Coprod.cliftstatement · cited by 5