Theorems · Theorem · commutative algebra
PolynomialModule.coeffEquiv_symm_apply
∀ (R : Type u_2) {M : Type u_3} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] (coeff : ℕ →₀ M),
(PolynomialModule.coeffEquiv R).symm coeff = { coeff := coeff }- Defined in
- Mathlib.Algebra.Polynomial.Module.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- CommRingAddCommGroupModule
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
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Equivstatement · cited by 8,337
- Finsuppstatement and proof · cited by 5,255
- Equiv.symmstatement and proof · cited by 3,681
- PolynomialModulestatement · cited by 76
- PolynomialModule.coeffEquivstatement and proof · cited by 6
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.