Theorems · Definition · commutative algebra
MvPowerSeries.truncFinset
{σ : Type u_1} → (R : Type u_4) → [inst : CommSemiring R] → Finset (σ →₀ ℕ) → MvPowerSeries σ R →ₗ[R] MvPolynomial σ RRestrict the support of a multivariate power series to a finite set of monomials and obtain a multivariate polynomial.
- Defined in
- Mathlib.RingTheory.MvPowerSeries.Trunc
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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.coeproof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Finsetstatement and proof · cited by 13,712
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Finsuppstatement and proof · cited by 5,255
- Finset.sumproof · cited by 5,195
- MvPolynomialstatement · cited by 2,140
- MvPowerSeriesstatement and proof · cited by 659
- MvPowerSeries.coeffproof · cited by 273
- MvPolynomial.monomialproof · cited by 253
Cited by21
Results whose statement or proof uses this declaration.
- MvPowerSeries.truncTotalproof · cited by 28
- MvPowerSeries.trunc'proof · cited by 18
- MvPowerSeries.truncproof · cited by 9
- MvPowerSeries.coeff_trunc'proof · cited by 5
- MvPowerSeries.coeff_truncFinset_eq_zerostatement · cited by 3
- MvPowerSeries.coeff_truncFinset_mul_truncFinset_eq_coeff_mul₂statement and proof · cited by 3
- MvPowerSeries.coeff_truncFinset_of_memstatement · cited by 3
- MvPowerSeries.truncFinset_Cstatement · cited by 3
- MvPowerSeries.truncFinset_applystatement and proof · cited by 3
- MvPowerSeries.truncFinset_onestatement · cited by 3
- MvPowerSeries.coeff_truncFinsetstatement · cited by 2
- MvPowerSeries.coeff_truncFinset_mul_truncFinset_eq_coeff_mulstatement · cited by 2