Theorems · Definition · ring theory
AddMonoidAlgebra.toMultiplicative
(R : Type u_3) → (M : Type u_6) → [inst : Semiring R] → [inst_1 : Add M] → AddMonoidAlgebra R M ≃+* MonoidAlgebra R (Multiplicative M)
The equivalence between AddMonoidAlgebra and MonoidAlgebra in terms of
Multiplicative
- Defined in
- Mathlib.Algebra.MonoidAlgebra.MapDomain
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingEquivstatement · cited by 1,147
- Multiplicativestatement and proof · cited by 875
- AddMonoidAlgebrastatement and proof · cited by 649
- MonoidAlgebrastatement and proof · cited by 590
- AddMonoidAlgebra.coeffproof · cited by 365
- Multiplicative.ofAddproof · cited by 237
- MonoidAlgebra.coeffproof · cited by 224
- Finsupp.mapDomainproof · cited by 168
- Multiplicative.toAddproof · cited by 161
Cited by4
Results whose statement or proof uses this declaration.
- AddMonoidAlgebra.toMultiplicativeAlgEquivproof · cited by 4
- AddMonoidAlgebra.toMultiplicative_singlestatement · cited by 0
- AddMonoidAlgebra.coeff_toMultiplicative_applystatement and proof · cited by 0
- AddMonoidAlgebra.coeff_toMultiplicative_symm_applystatement and proof · cited by 0