Theorems · Theorem · ring theory
MonoidAlgebra.uniqueRingEquiv_symm_apply
∀ {R : Type u_1} (M : Type u_4) [inst : Semiring R] [inst_1 : Monoid M] [inst_2 : Subsingleton M] (r : R),
(MonoidAlgebra.uniqueRingEquiv M).symm r = MonoidAlgebra.single 1 r- Defined in
- Mathlib.Algebra.MonoidAlgebra.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringMonoidSubsingleton
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
- Monoidstatement and proof · cited by 3,887
- RingEquivstatement · cited by 1,147
- Finsupp.singleproof · cited by 943
- MonoidAlgebrastatement · cited by 590
- RingEquiv.symmstatement · cited by 567
- AddEquiv.symmproof · cited by 530
- Finsupp.extproof · cited by 399
- MonoidAlgebra.singlestatement · cited by 253
- MonoidAlgebra.coeffproof · cited by 224
- MonoidAlgebra.extproof · cited by 78
Cited by2
Results whose statement or proof uses this declaration.
- MonoidAlgebra.coeff_uniqueRingEquiv_symmproof · cited by 1
- MonoidAlgebra.uniqueAlgEquiv_symm_applyproof · cited by 1