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Theorems · Definition · group theory

AddMonoid.Coprod.inr

{M : Type u_1} → {N : Type u_2} → [inst : AddZeroClass M] → [inst_1 : AddZeroClass N] → N →+ AddMonoid.Coprod M N

The natural embedding N →+ AddMonoid.Coprod M N.

Defined in
Mathlib.GroupTheory.Coprod.Basic
Cited by
42 results in Mathlib
Foundations
Depth 47 from the axioms · uses propext, Quot.sound
Assumes
AddZeroClassAddZeroClass
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddMonoid.Coprod.hom_ext · cited by 12Coprod.hom_extAddEquiv.coprodAssoc · cited by 6AddEquiv.coprodAssocAddMonoid.Coprod.mclosure_range_inl_union_inr · cited by 3Coprod.mclosure_range_inl…AddMonoid.Coprod.fst_prod_snd · cited by 3Coprod.fst_prod_sndAddEquiv.punitCoprod · cited by 2AddEquiv.punitCoprodAddMonoid.Coprod.mrange_inl_sup_mrange_inr · cited by 2Coprod.mrange_inl_sup_mra…AddMonoid.Coprod.range_inl_sup_range_inr · cited by 2Coprod.range_inl_sup_rang…AddMonoid.Coprod.snd_apply_inr · cited by 2Coprod.snd_apply_inrAddMonoid.Coprod.lift_comp_inr · cited by 1Coprod.lift_comp_inrAddMonoid.Coprod.mk_of_neg_add · cited by 1Coprod.mk_of_neg_addAddMonoid.Coprod.mrange_eq · cited by 1Coprod.mrange_eqAddMonoid.Coprod.range_eq · cited by 1Coprod.range_eqAddMonoid.Coprod.toProd_apply_inr · cited by 1Coprod.toProd_apply_inrAddMonoid.Coprod.closure_range_inl_union_inr · cited by 1Coprod.closure_range_inl_…AddMonoid.Coprod.induction_on' · cited by 1Coprod.induction_on'DFunLike.coe · cited by 62936DFunLike.coeAddMonoidHom · cited by 3230AddMonoidHomAddZeroClass · cited by 1237AddZeroClassAddMonoid.Coprod · cited by 104AddMonoid.CoprodFreeAddMonoid.of · cited by 69FreeAddMonoid.ofAddMonoid.Coprod.mk · cited by 16Coprod.mkCoprod.inrCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by45

Results whose statement or proof uses this declaration.