Theorems · Theorem · ring theory
AddMonoidAlgebra.mapDomainOfBialgHom_comp
∀ {R : Type u_1} {G : Type u_5} {H : Type u_6} {I : Type u_7} [inst : CommRing R] [inst_1 : IsDomain R]
[inst_2 : AddGroup G] [inst_3 : AddGroup H] [inst_4 : AddGroup I]
(f : AddMonoidAlgebra R H →ₐc[R] AddMonoidAlgebra R I) (g : AddMonoidAlgebra R G →ₐc[R] AddMonoidAlgebra R H),
AddMonoidAlgebra.mapDomainOfBialgHom (f.comp g) =
(AddMonoidAlgebra.mapDomainOfBialgHom f).comp (AddMonoidAlgebra.mapDomainOfBialgHom g)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- AddGroupstatement and proof · cited by 4,410
- AddMonoidHomstatement and proof · cited by 3,230
- IsDomainstatement and proof · cited by 2,196
- AddMonoidAlgebrastatement and proof · cited by 649
- AddMonoidHom.compstatement and proof · cited by 339
- BialgHomstatement and proof · cited by 190
- BialgHom.compstatement and proof · cited by 26
- AddMonoidAlgebra.mapDomainBialgHomproof · cited by 10
- AddMonoidAlgebra.mapDomainOfBialgHomstatement and proof · cited by 6
- AddMonoidAlgebra.mapDomainOfBialgHom_mapDomainBialgHomproof · cited by 2
- AddMonoidAlgebra.mapDomainBialgHom_compproof · cited by 2
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