Theorems · Theorem · number theory
Polynomial.ncard_boxPoly
∀ (n : ℕ) (B₁ B₂ : Fin (n + 1) → ℝ), (Polynomial.boxPoly n B₁ B₂).ncard = ∏ i, (⌊B₂ i⌋ - ⌈B₁ i⌉ + 1).toNat
- Defined in
- Mathlib.NumberTheory.MahlerMeasure
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
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
- SetLike.coeproof · cited by 8,199
- Set.Elemproof · cited by 7,166
- Polynomialstatement · cited by 5,681
- Finset.univstatement and proof · cited by 3,473
- Nat.cast_oneproof · cited by 2,501
- Finset.prodstatement and proof · cited by 2,356
- Finset.cardproof · cited by 2,327
- Polynomial.coeffproof · cited by 1,045
- Finset.prod_congrproof · cited by 646
- Finset.Iccproof · cited by 348
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.card_eq_of_natDegree_le_of_coeff_leproof · cited by 0