Theorems · Definition · group theory
Monoid.Coprod.inr
{M : Type u_1} → {N : Type u_2} → [inst : MulOneClass M] → [inst_1 : MulOneClass N] → N →* Monoid.Coprod M NThe natural embedding N →* M ∗ N.
- Defined in
- Mathlib.GroupTheory.Coprod.Basic
- Cited by
- 47 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Quot.sound
- Assumes
- MulOneClassMulOneClass
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.
- DFunLike.coeproof · cited by 62,936
- MonoidHomstatement · cited by 3,629
- MulOneClassstatement and proof · cited by 1,018
- Monoid.Coprodstatement · cited by 109
- FreeMonoid.ofproof · cited by 69
- Monoid.Coprod.mkproof · cited by 16
Cited by55
Results whose statement or proof uses this declaration.
- HNNExtension.tproof · cited by 20
- Monoid.PushoutI.baseproof · cited by 17
- Monoid.Coprod.hom_extstatement and proof · cited by 14
- MulEquiv.coprodAssocproof · cited by 6
- Monoid.PushoutI.of_comp_eq_baseproof · cited by 3
- PresentedGroup.toCoprodproof · cited by 3
- Monoid.Coprod.fst_prod_sndproof · cited by 3
- Monoid.Coprod.mclosure_range_inl_union_inrstatement and proof · cited by 3
- Monoid.Coprod.snd_apply_inrstatement · cited by 2
- MulEquiv.punitCoprodproof · cited by 2
- HNNExtension.t_mul_ofproof · cited by 2
- Monoid.Coprod.mrange_inl_sup_mrange_inrstatement and proof · cited by 2