Theorems · Definition · commutative algebra
PolynomialModule.coeffAddEquiv
{R : Type u_2} →
{M : Type u_3} →
[inst : CommRing R] → [inst_1 : AddCommGroup M] → [inst_2 : Module R M] → PolynomialModule R M ≃+ (ℕ →₀ M)PolynomialModule.coeff as an AddEquiv.
- Defined in
- Mathlib.Algebra.Polynomial.Module.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingAddCommGroupModule
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
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Finsuppstatement · cited by 5,255
- AddEquivstatement · cited by 1,087
- PolynomialModulestatement · cited by 76
- PolynomialModule.coeffEquivproof · cited by 6
- Equiv.addEquivproof · cited by 3
Cited by8
Results whose statement or proof uses this declaration.
- PolynomialModule.equivPolynomialproof · cited by 6
- PolynomialModule.equivPolynomialSelfproof · cited by 4
- PolynomialModule.coeff_finsuppSumproof · cited by 1
- PolynomialModule.ofCoeff_finsuppSumproof · cited by 1
- PolynomialModule.coeff_sumproof · cited by 0
- PolynomialModule.coeffAddEquiv_applystatement and proof · cited by 0
- PolynomialModule.coeffAddEquiv_symm_applystatement and proof · cited by 0
- PolynomialModule.ofCoeff_sumproof · cited by 0