Theorems · Definition · group theory
Monoid.Coprod.toProd
{M : Type u_1} → {N : Type u_2} → [inst : Monoid M] → [inst_1 : Monoid N] → Monoid.Coprod M N →* M × NThe natural projection M ∗ N →* M × N.
- Defined in
- Mathlib.GroupTheory.Coprod.Basic
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement · cited by 3,629
- Monoid.Coprodstatement · cited by 109
- MonoidHom.inrproof · cited by 32
- MonoidHom.inlproof · cited by 32
- Monoid.Coprod.liftproof · cited by 13
Cited by11
Results whose statement or proof uses this declaration.
- Monoid.Coprod.fst_prod_sndstatement · cited by 3
- Monoid.Coprod.snd_comp_toProdstatement · cited by 1
- Monoid.Coprod.fst_comp_toProdstatement · cited by 1
- Monoid.Coprod.toProd_apply_inrstatement · cited by 1
- Monoid.Coprod.toProd_apply_inlstatement · cited by 1
- Monoid.Coprod.toProd_surjectivestatement and proof · cited by 0
- Monoid.Coprod.snd_toProdstatement and proof · cited by 0
- Monoid.Coprod.fst_toProdstatement and proof · cited by 0
- Monoid.Coprod.prod_mk_fst_sndstatement · cited by 0
- Monoid.Coprod.toProd_comp_inlstatement · cited by 0
- Monoid.Coprod.toProd_comp_inrstatement · cited by 0