Theorems · Theorem · ring theory
AddMonoidAlgebra.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), (AddMonoidAlgebra.coeffLinearEquiv R).symm a = AddMonoidAlgebra.ofCoeff a- Defined in
- Mathlib.Algebra.MonoidAlgebra.Module
- Cited by
- 7 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
- AddMonoidAlgebrastatement · cited by 649
- AddMonoidAlgebra.coeffLinearEquivstatement and proof · cited by 15
Cited by7
Results whose statement or proof uses this declaration.
- MvPolynomial.coeff_weightedHomogeneousComponentproof · cited by 8
- AddMonoidAlgebra.supported_eq_span_singleproof · cited by 5
- MvPolynomial.weightedHomogeneousComponent_applyproof · cited by 3
- AddMonoidAlgebra.mapDomainLinearEquiv_singleproof · cited by 0
- AddMonoidAlgebra.tensorEquiv_symm_single_eq_single_zero_tmulproof · cited by 0
- AddMonoidAlgebra.tensorEquiv_symm_single_eq_tmul_single_zeroproof · cited by 0
- AddMonoidAlgebra.mapDomainLinearMap_singleproof · cited by 0