Theorems · Theorem · commutative algebra
PolynomialModule.coeffLinearEquiv_apply
∀ (R : Type u_2) {M : Type u_3} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] (S : Type u_5)
[inst_3 : CommSemiring S] [inst_4 : Module S M] (a : PolynomialModule R M),
(PolynomialModule.coeffLinearEquiv R S) a = a.coeff- Defined in
- Mathlib.Algebra.Polynomial.Module.Basic
- Cited by
- 1 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.
Cites11
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
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement · cited by 5,255
- LinearEquivstatement · cited by 3,317
- PolynomialModulestatement and proof · cited by 76
- PolynomialModule.coeffstatement · cited by 27
- PolynomialModule.coeffLinearEquivstatement and proof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- PolynomialModule.map_singleproof · cited by 7