Theorems · Theorem · commutative algebra
MvPowerSeries.totalDegree_truncFinset
∀ {σ : Type u_1} {R : Type u_2} [inst : CommSemiring R] {s : Finset (σ →₀ ℕ)} (p : MvPowerSeries σ R),
((MvPowerSeries.truncFinset R s) p).totalDegree ≤ s.sup ⇑Finsupp.degree- Defined in
- Mathlib.RingTheory.MvPowerSeries.Trunc
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 87 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.
Cites16
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
- 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
- AddMonoidHomstatement · cited by 3,230
- MvPolynomialstatement · cited by 2,140
- MvPowerSeriesstatement and proof · cited by 659
- Finset.supstatement and proof · cited by 530
- Finsupp.sumproof · cited by 481
- Finsupp.degreestatement and proof · cited by 94
Cited by2
Results whose statement or proof uses this declaration.
- MvPowerSeries.totalDegree_trunc'proof · cited by 0
- MvPowerSeries.totalDegree_truncTotal_ltproof · cited by 0