Theorems · Definition · ring theory
AddMonoidAlgebra.uniqueRingEquiv
{R : Type u_1} →
(M : Type u_4) → [inst : Semiring R] → [inst_1 : AddMonoid M] → [Subsingleton M] → AddMonoidAlgebra R M ≃+* RThe trivial additive monoid algebra is the base ring.
- Defined in
- Mathlib.Algebra.MonoidAlgebra.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- AddMonoidstatement and proof · cited by 2,864
- RingEquivstatement · cited by 1,147
- AddEquivproof · cited by 1,087
- AddMonoidAlgebrastatement and proof · cited by 649
- AddEquiv.toEquivproof · cited by 174
- AddEquiv.transproof · cited by 53
- AddMonoidAlgebra.coeffAddEquivproof · cited by 12
- Finsupp.uniqueAddEquivproof · cited by 5
Cited by7
Results whose statement or proof uses this declaration.
- MvPolynomial.isEmptyRingEquivproof · cited by 9
- AddMonoidAlgebra.uniqueAlgEquivproof · cited by 4
- AddMonoidAlgebra.uniqueRingEquiv_symm_applystatement · cited by 3
- AddMonoidAlgebra.coeff_uniqueRingEquiv_symmstatement · cited by 0
- AddMonoidAlgebra.uniqueRingEquiv_applystatement and proof · cited by 0
- AddMonoidAlgebra.toRingEquiv_symm_uniqueAlgEquivstatement · cited by 0
- AddMonoidAlgebra.toRingEquiv_uniqueAlgEquivstatement · cited by 0