Theorems · Definition · ring theory
AddMonoidAlgebra.coeffLinearEquiv
(R : Type u_1) →
{S : Type u_2} →
{M : Type u_3} →
[inst : Semiring R] → [inst_1 : Semiring S] → [inst_2 : Module R S] → AddMonoidAlgebra S M ≃ₗ[R] M →₀ SMonoidAlgebra.coeff as a linear equiv.
- Defined in
- Mathlib.Algebra.MonoidAlgebra.Module
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Finsuppstatement · cited by 5,255
- LinearEquivstatement · cited by 3,317
- AddMonoidAlgebrastatement · cited by 649
- AddMonoidAlgebra.coeffEquivproof · cited by 22
- Equiv.linearEquivproof · cited by 9
Cited by26
Results whose statement or proof uses this declaration.
- MvPolynomial.weightedHomogeneousComponentproof · cited by 25
- AddMonoidAlgebra.lsingleproof · cited by 14
- AddMonoidAlgebra.supportedproof · cited by 12
- AddMonoidAlgebra.coeffLinearEquiv_applystatement and proof · cited by 11
- Algebra.Generators.H1Cotangent.δAuxproof · cited by 10
- MvPolynomial.coeff_weightedHomogeneousComponentproof · cited by 8
- AddMonoidAlgebra.coeffLinearEquiv_symm_applystatement and proof · cited by 7
- MvPolynomial.basisMonomialsproof · cited by 6
- AddMonoidAlgebra.supported_eq_span_singleproof · cited by 5
- AddMonoidAlgebra.tensorEquivproof · cited by 4
- AddMonoidAlgebra.comul_singleproof · cited by 4
- AddMonoidAlgebra.mapDomainLinearEquivproof · cited by 4