Theorems · Theorem · ring theory
MonoidAlgebra.coeffLinearEquiv_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 : MonoidAlgebra S M), (MonoidAlgebra.coeffLinearEquiv R) a = a.coeff- Defined in
- Mathlib.Algebra.MonoidAlgebra.Module
- Cited by
- 22 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 · cited by 5,255
- LinearEquivstatement · cited by 3,317
- MonoidAlgebrastatement and proof · cited by 590
- MonoidAlgebra.coeffstatement · cited by 224
- MonoidAlgebra.coeffLinearEquivstatement and proof · cited by 34
Cited by22
Results whose statement or proof uses this declaration.
- MonoidAlgebra.mapDomainLinearMap_singleproof · cited by 13
- MonoidAlgebra.tensorEquiv_single_tmul_singleproof · cited by 8
- Representation.ofMulAction_singleproof · cited by 6
- Representation.coeff_ofMulActionproof · cited by 4
- Rep.standardComplex.d_ofproof · cited by 3
- MonoidAlgebra.tensorEquiv_symm_single_eq_single_one_tmulproof · cited by 3
- Rep.barComplex.d_singleproof · cited by 3
- MonoidAlgebra.comul_singleproof · cited by 2
- MonoidAlgebra.mapDomainLinearEquiv_singleproof · cited by 2
- Rep.coindToInd_indToCoindproof · cited by 1
- Rep.indToCoind_coindToIndproof · cited by 1
- MonoidAlgebra.single_mem_span_singleproof · cited by 1