Theorems · Definition · ring theory
MonoidAlgebra.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] → M ≃ N → MonoidAlgebra S M ≃ₗ[R] MonoidAlgebra S NMonoidAlgebra.mapDomain as a linear equiv.
- Defined in
- Mathlib.Algebra.MonoidAlgebra.Module
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- LinearEquivstatement · cited by 3,317
- LinearEquiv.symmproof · cited by 1,461
- MonoidAlgebrastatement · cited by 590
- LinearEquiv.transproof · cited by 298
- MonoidAlgebra.coeffLinearEquivproof · cited by 34
- Finsupp.domLCongrproof · cited by 20
Cited by5
Results whose statement or proof uses this declaration.
- Representation.diagonalOneEquivLeftRegularproof · cited by 2
- MonoidAlgebra.mapDomainLinearEquiv_singlestatement · cited by 2
- MonoidAlgebra.symm_mapDomainLinearEquivstatement · cited by 0
- MonoidAlgebra.coeff_mapDomainLinearEquivstatement · cited by 0
- MonoidAlgebra.mapDomainLinearEquiv_transstatement · cited by 0