Theorems · Theorem · ring theory
AddMonoidAlgebra.coeff_mapDomainAddEquiv
∀ {R : Type u_3} {M : Type u_6} {N : Type u_7} [inst : Semiring R] [inst_1 : Add M] [inst_2 : Add N] (e : M ≃ N)
(x : AddMonoidAlgebra R M), ((AddMonoidAlgebra.mapDomainAddEquiv R e) x).coeff = Finsupp.equivMapDomain e x.coeff- Defined in
- Mathlib.Algebra.MonoidAlgebra.MapDomain
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Equivstatement and proof · cited by 8,337
- Finsuppstatement · cited by 5,255
- Equiv.symmproof · cited by 3,681
- AddEquivstatement · cited by 1,087
- AddMonoidAlgebrastatement and proof · cited by 649
- Finsupp.extproof · cited by 399
- AddMonoidAlgebra.coeffstatement and proof · cited by 365
- Finsupp.equivMapDomainstatement · cited by 35
- Finsupp.mapDomain_equiv_applyproof · cited by 15
- AddMonoidAlgebra.coeff_mapDomainproof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- AddMonoidAlgebra.coeff_mapDomainRingEquivproof · cited by 4
- Polynomial.coeff_opRingEquivproof · cited by 2
- AddMonoidAlgebra.mapDomainAddEquiv_transproof · cited by 0