Theorems · Definition · number theory
Height.mulHeightBound
{K : Type u_4} →
[inst : Field K] → {ι : Type u_5} → {ι' : Type u_6} → [Height.AdmissibleAbsValues K] → (ι' → MvPolynomial ι K) → ℝThe constant in the (upper) height bound on values of p.
- Defined in
- Mathlib.NumberTheory.Height.MvPolynomial
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- Fieldstatement and proof · cited by 7,404
- Set.Elemproof · cited by 7,166
- Finsuppproof · cited by 5,255
- iSupproof · cited by 2,415
- MvPolynomialstatement and proof · cited by 2,140
- Multiset.mapproof · cited by 876
- Multiset.prodproof · cited by 528
- Finsupp.sumproof · cited by 481
- AddMonoidAlgebra.coeffproof · cited by 365
- AbsoluteValueproof · cited by 363
Cited by10
Results whose statement or proof uses this declaration.
- Height.mulHeight_eval_lestatement and proof · cited by 3
- Height.max_mulHeightBound_zero_one_eq_onestatement · cited by 2
- Height.mulHeight_eval_gestatement and proof · cited by 2
- Height.logHeight_eval_lestatement and proof · cited by 1
- Height.logHeight_eval_le'proof · cited by 1
- Height.mulHeight_eval_ge'proof · cited by 1
- Height.mulHeight_eval_le'proof · cited by 1
- Height.logHeight_eval_gestatement and proof · cited by 1
- Height.logHeight_eval_ge'proof · cited by 1
- Height.mulHeightBound_eqstatement · cited by 0