Theorems · Theorem · number theory
Height.mulHeight_sym2_le
∀ (K : Type u_4) [inst : Field K] [inst_1 : Height.AdmissibleAbsValues K],
∃ C > 0,
∀ (a b c d : K),
Height.mulHeight ![a * c, a * d + b * c, b * d] ≤ C * Height.mulHeight ![a, b] * Height.mulHeight ![c, d]- Defined in
- Mathlib.NumberTheory.Height.MvPolynomial
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 125 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites33
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
- mul_oneproof · cited by 3,885
- add_zeroproof · cited by 2,707
- MvPolynomialproof · cited by 2,140
- MulZeroClass.mul_zeroproof · cited by 2,091
- le_reflproof · cited by 2,061
- mul_assocproof · cited by 1,667
- MulZeroClass.zero_mulproof · cited by 1,625
- le_of_ltproof · cited by 1,175
- map_addproof · cited by 964
Cited by1
Results whose statement or proof uses this declaration.
- Height.logHeight_sym2_leproof · cited by 1