Theorems · Definition · commutative algebra
PowerSeries.trunc
{R : Type u_1} → [inst : Semiring R] → ℕ → PowerSeries R →ₗ[R] Polynomial RThe nth truncation of a formal power series to a polynomial.
- Defined in
- Mathlib.RingTheory.PowerSeries.Trunc
- Cited by
- 41 results in Mathlib
- Foundations
- Depth 102 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- Polynomialstatement · cited by 5,681
- PowerSeriesstatement and proof · cited by 797
Cited by42
Results whose statement or proof uses this declaration.
- PowerSeries.coeff_truncstatement · cited by 22
- PowerSeries.IsWeierstrassDivisorAt.modproof · cited by 16
- PowerSeries.IsWeierstrassDivisorAt.isWeierstrassDivisionAt_div_modproof · cited by 10
- PowerSeries.trunc_trunc_mulstatement and proof · cited by 4
- PowerSeries.eq_X_pow_mul_shift_add_truncstatement and proof · cited by 2
- PowerSeries.trunc_derivativestatement and proof · cited by 2
- PowerSeries.trunc_one_leftstatement · cited by 2
- PowerSeries.trunc_trunc_mul_truncstatement and proof · cited by 2
- PowerSeries.trunc_trunc_of_lestatement and proof · cited by 2
- PowerSeries.IsWeierstrassDivisorAt.coeff_seq_memproof · cited by 2
- PowerSeries.degree_trunc_ltstatement and proof · cited by 2
- PowerSeries.coeff_coe_trunc_of_ltstatement and proof · cited by 2