Theorems · Theorem · ring theory
MonoidAlgebra.coeff_mapDomainLinearEquiv
∀ {R : Type u_1} {S : Type u_2} {M : Type u_3} {N : Type u_4} [inst : Semiring R] [inst_1 : Semiring S]
[inst_2 : Module R S] (e : M ≃ N) (x : MonoidAlgebra S M),
((MonoidAlgebra.mapDomainLinearEquiv R S e) x).coeff = Finsupp.equivMapDomain e x.coeff- Defined in
- Mathlib.Algebra.MonoidAlgebra.Module
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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 · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- Equivstatement and proof · cited by 8,337
- Finsuppstatement · cited by 5,255
- LinearEquivstatement · cited by 3,317
- MonoidAlgebrastatement and proof · cited by 590
- MonoidAlgebra.coeffstatement · cited by 224
- Finsupp.equivMapDomainstatement · cited by 35
- MonoidAlgebra.mapDomainLinearEquivstatement · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.