Theorems · Theorem · ring theory
MonoidAlgebra.coeff_mapAddEquiv
∀ {R : Type u_3} {S : Type u_4} {M : Type u_6} [inst : Semiring R] [inst_1 : Semiring S] [inst_2 : Mul M] (e : R ≃+ S)
(x : MonoidAlgebra R M) (m : M), ((MonoidAlgebra.mapAddEquiv M e) x).coeff m = e (x.coeff m)- Defined in
- Mathlib.Algebra.MonoidAlgebra.MapDomain
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- AddEquivstatement and proof · cited by 1,087
- MonoidAlgebrastatement and proof · cited by 590
- MonoidAlgebra.coeffstatement and proof · cited by 224
- MonoidAlgebra.mapAddEquivstatement · cited by 12
Cited by3
Results whose statement or proof uses this declaration.
- MonoidAlgebra.mapAddEquiv_transproof · cited by 1
- MonoidAlgebra.mapRangeAddEquiv_applyproof · cited by 0
- MonoidAlgebra.mapAddEquiv_applyproof · cited by 0