Theorems · Theorem · ring theory
MonoidAlgebra.coeff_uniqueRingEquiv_symm
∀ {R : Type u_1} {M : Type u_4} [inst : Semiring R] [inst_1 : Monoid M] [inst_2 : Subsingleton M] (r : R) (m : M),
((MonoidAlgebra.uniqueRingEquiv M).symm r).coeff m = r- Defined in
- Mathlib.Algebra.MonoidAlgebra.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 85 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.
Cites11
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
- Finsuppstatement · cited by 5,255
- Monoidstatement and proof · cited by 3,887
- RingEquivstatement · cited by 1,147
- MonoidAlgebrastatement · cited by 590
- RingEquiv.symmstatement · cited by 567
- MonoidAlgebra.coeffstatement and proof · cited by 224
- Finsupp.single_eq_sameproof · cited by 171
- MonoidAlgebra.uniqueRingEquivstatement · cited by 7
- MonoidAlgebra.uniqueRingEquiv_symm_applyproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- MonoidAlgebra.uniqueRingEquiv_symm_apply_applyproof · cited by 0