Theorems · Theorem · ring theory
AddMonoidAlgebra.uniqueRingEquiv_symm_apply
∀ {R : Type u_1} (M : Type u_4) [inst : Semiring R] [inst_1 : AddMonoid M] [inst_2 : Subsingleton M] (r : R),
(AddMonoidAlgebra.uniqueRingEquiv M).symm r = AddMonoidAlgebra.single 0 r- Defined in
- Mathlib.Algebra.MonoidAlgebra.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- AddMonoidstatement and proof · cited by 2,864
- RingEquivstatement · cited by 1,147
- Finsupp.singleproof · cited by 943
- AddMonoidAlgebrastatement · cited by 649
- RingEquiv.symmstatement · cited by 567
- AddEquiv.symmproof · cited by 530
- Finsupp.extproof · cited by 399
- AddMonoidAlgebra.coeffproof · cited by 365
- AddMonoidAlgebra.singlestatement · cited by 250
- AddMonoidAlgebra.extproof · cited by 90
Cited by3
Results whose statement or proof uses this declaration.
- MvPolynomial.isEmptyRingEquiv_symm_applyproof · cited by 2
- AddMonoidAlgebra.uniqueAlgEquiv_symm_applyproof · cited by 1
- AddMonoidAlgebra.coeff_uniqueRingEquiv_symmproof · cited by 0