Theorems · Theorem · ring theory
MonoidAlgebra.coeffLinearEquiv_symm_apply
∀ (R : Type u_1) {S : Type u_2} {M : Type u_3} [inst : Semiring R] [inst_1 : Semiring S] [inst_2 : Module R S]
(a : M →₀ S), (MonoidAlgebra.coeffLinearEquiv R).symm a = MonoidAlgebra.ofCoeff a- Defined in
- Mathlib.Algebra.MonoidAlgebra.Module
- Cited by
- 9 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.
Cites9
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
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- Finsuppstatement and proof · cited by 5,255
- LinearEquivstatement · cited by 3,317
- LinearEquiv.symmstatement and proof · cited by 1,461
- MonoidAlgebrastatement · cited by 590
- MonoidAlgebra.coeffLinearEquivstatement and proof · cited by 34
Cited by9
Results whose statement or proof uses this declaration.
- MonoidAlgebra.mapDomainLinearMap_singleproof · cited by 13
- Representation.ofMulAction_singleproof · cited by 6
- Representation.coeff_ofMulActionproof · cited by 4
- MonoidAlgebra.tensorEquiv_symm_single_eq_single_one_tmulproof · cited by 3
- MonoidAlgebra.mapDomainLinearEquiv_singleproof · cited by 2
- Representation.leftRegularTensorTrivialIsoFree_symm_apply_single_singleproof · cited by 1
- Representation.leftRegularTensorTrivialIsoFree_apply_single_tmul_singleproof · cited by 0
- MonoidAlgebra.tensorEquiv_symm_single_eq_tmul_single_oneproof · cited by 0
- MonoidAlgebra.supported_eq_span_singleproof · cited by 0