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Theorems · Theorem · ring theory

AddMonoidAlgebra.mapDomainBialgHom_id

∀ {R : Type u_1} {M : Type u_8} [inst : CommSemiring R] [inst_1 : AddMonoid M],
  AddMonoidAlgebra.mapDomainBialgHom R (AddMonoidHom.id M) = BialgHom.id R (AddMonoidAlgebra R M)
Defined in
Mathlib.RingTheory.Bialgebra.MonoidAlgebra
Cited by
1 results in Mathlib
Foundations
Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringAddMonoid
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Around this declaration

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

AddMonoidAlgebra.mapDomainOfBialgHom_id · cited by 0AddMonoidAlgebra.mapDomai…DFunLike.coe · cited by 62936DFunLike.coeCommSemiring · cited by 10911CommSemiringAddMonoid · cited by 2864AddMonoidAddMonoidAlgebra · cited by 649AddMonoidAlgebraFinsupp.ext · cited by 399Finsupp.extAddMonoidAlgebra.coeff · cited by 365AddMonoidAlgebra.coeffBialgHom · cited by 190BialgHomAddMonoidHom.id · cited by 107AddMonoidHom.idAddMonoidAlgebra.ext · cited by 90AddMonoidAlgebra.extBialgHom.id · cited by 22BialgHom.idFinsupp.mapDomain_id · cited by 13Finsupp.mapDomain_idAddMonoidAlgebra.mapDomainBialgHom · cited by 10AddMonoidAlgebra.mapDomai…BialgHom.ext · cited by 9BialgHom.extBialgHom.id_apply · cited by 3BialgHom.id_applyAddMonoidAlgebra.coeff_mapDomainBialgHom_apply · cited by 3AddMonoidAlgebra.coeff_ma…AddMonoidAlgebra.mapDomainBia…CITED BYCITES

Cites15

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Cited by1

Results whose statement or proof uses this declaration.