Theorems · Definition · ring theory
MonoidAlgebra.toAdditiveAlgEquiv
(R : Type u_1) →
(A : Type u_4) →
(M : Type u_7) →
[inst : CommSemiring R] →
[inst_1 : Semiring A] →
[inst_2 : Algebra R A] → [inst_3 : Monoid M] → MonoidAlgebra A M ≃ₐ[R] AddMonoidAlgebra A (Additive M)The algebra equivalence between MonoidAlgebra and AddMonoidAlgebra in terms of
Additive.
- Defined in
- Mathlib.Algebra.MonoidAlgebra.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 85 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.
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Monoidstatement and proof · cited by 3,887
- AlgEquivstatement · cited by 1,681
- RingEquivproof · cited by 1,147
- AddMonoidAlgebrastatement and proof · cited by 649
- MonoidAlgebrastatement and proof · cited by 590
- Additivestatement and proof · cited by 356
- RingEquiv.toEquivproof · cited by 101
- MonoidAlgebra.toAdditiveproof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- MonoidAlgebra.toAdditiveBialgEquivproof · cited by 3
- MonoidAlgebra.finiteType_iff_fgproof · cited by 2
- MonoidAlgebra.toAdditiveAlgEquiv_singlestatement · cited by 1
- MonoidAlgebra.coeff_toAdditiveAlgEquiv_applystatement and proof · cited by 1
- MonoidAlgebra.toAdditiveBialgEquiv_singleproof · cited by 0
- MonoidAlgebra.coeff_toAdditiveAlgEquiv_symm_applystatement and proof · cited by 0