Theorems · Theorem · commutative algebra
MvPowerSeries.gaussNorm_nonneg
∀ {R : Type u_1} {σ : Type u_2} (v : R → ℝ) (c : σ → ℝ) (f : MvPowerSeries σ R) [inst : Semiring R],
(∀ (a : R), v a ≥ 0) → 0 ≤ MvPowerSeries.gaussNorm v c f- Cited by
- 3 results in Mathlib
- Foundations
- Depth 118 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.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Semiringstatement and proof · cited by 13,802
- Finsuppproof · cited by 5,255
- mul_oneproof · cited by 3,885
- iSupproof · cited by 2,415
- MvPowerSeriesstatement and proof · cited by 659
- MvPowerSeries.coeffproof · cited by 273
- Finsupp.prodproof · cited by 231
- MvPowerSeries.constantCoeffproof · cited by 98
- Real.sSup_emptyproof · cited by 17
- MvPowerSeries.gaussNormstatement and proof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- MvPowerSeries.gaussNorm_add_le_maxproof · cited by 1
- MvPowerSeries.gaussNorm_mul_leproof · cited by 1
- PowerSeries.gaussNorm_nonnegproof · cited by 0