Mathlib Map

Theorems · Definition · group theory

MonoidHom.inr

(M : Type u_3) → (N : Type u_4) → [inst : MulOneClass M] → [inst_1 : MulOneClass N] → N →* M × N

Given monoids M, N, the natural inclusion homomorphism from N to M × N.

Defined in
Mathlib.Algebra.Group.Prod
Cited by
32 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Assumes
MulOneClassMulOneClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MonoidWithZeroHom.inr · cited by 12MonoidWithZeroHom.inrMonoid.Coprod.toProd · cited by 11Coprod.toProdOrderMonoidHom.inr · cited by 5OrderMonoidHom.inrSubmonoid.prod_le_iff · cited by 4Submonoid.prod_le_iffMonoidWithZeroHom.snd_inr · cited by 3MonoidWithZeroHom.snd_inrMonoidHom.commute_inl_inr · cited by 2MonoidHom.commute_inl_inrSubgroup.prod_le_iff · cited by 2Subgroup.prod_le_iffSubmonoid.mrange_inr · cited by 2Submonoid.mrange_inrMonoidWithZeroHom.fst_comp_inr · cited by 1MonoidWithZeroHom.fst_com…MonoidHom.mker_inr · cited by 1MonoidHom.mker_inrMonoidHom.inr_mono · cited by 1MonoidHom.inr_monoSubmonoid.map_inr · cited by 1Submonoid.map_inrMonoidWithZeroHom.inr_apply_unit · cited by 1MonoidWithZeroHom.inr_app…Submonoid.closure_one_prod · cited by 1Submonoid.closure_one_prodSubmonoid.closure_prod_one · cited by 1Submonoid.closure_prod_oneMonoidHom · cited by 3629MonoidHomMulOneClass · cited by 1018MulOneClassMonoidHom.inrCITED BYCITES

Cites2

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Cited by37

Results whose statement or proof uses this declaration.