Theorems · Theorem · commutative algebra
Polynomial.coeff_coe
∀ {R : Type u_1} [inst : Semiring R] (φ : Polynomial R) (n : ℕ), (PowerSeries.coeff n) ↑φ = φ.coeff n- Defined in
- Mathlib.RingTheory.PowerSeries.Basic
- Cited by
- 25 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- Polynomialstatement and proof · cited by 5,681
- Polynomial.coeffstatement and proof · cited by 1,045
- PowerSeriesstatement · cited by 797
- PowerSeries.coeffstatement · cited by 324
- Finsupp.single_eq_sameproof · cited by 171
- Polynomial.toPowerSeriesstatement · cited by 96
Cited by25
Results whose statement or proof uses this declaration.
- PowerSeries.IsWeierstrassDivisorAt.isWeierstrassDivisionAt_div_modproof · cited by 10
- Polynomial.coe_monomialproof · cited by 5
- Polynomial.gaussNorm_coe_powerSeriesproof · cited by 4
- PowerSeries.trunc_trunc_mulproof · cited by 4
- Polynomial.coe_addproof · cited by 4
- Polynomial.le_gaussNormproof · cited by 4
- Polynomial.coeff_mul_invOneSubPow_eq_hilbertPoly_evalproof · cited by 3
- Polynomial.polynomial_map_coeproof · cited by 3
- Polynomial.coe_mulproof · cited by 3
- Polynomial.gaussNorm_eq_zero_iffproof · cited by 2
- PowerSeries.trunc_trunc_of_leproof · cited by 2
- PowerSeries.IsWeierstrassDivision.isUnit_of_map_ne_zeroproof · cited by 2