Theorems · Theorem · number theory

Height.logHeight_sym2_le

∀ (K : Type u_4) [inst : Field K] [inst_1 : Height.AdmissibleAbsValues K],
  ∃ C,
    ∀ (a b c d : K),
      Height.logHeight ![a * c, a * d + b * c, b * d] ≤ C + Height.logHeight ![a, b] + Height.logHeight ![c, d]

Defined in: Mathlib.NumberTheory.Height.MvPolynomial
Cited by: 1 results in Mathlib
Foundations: Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field Height.AdmissibleAbsValues

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

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mul_posproof · cited by 374
Height.AdmissibleAbsValuesstatement and proof · cited by 110
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Real.log_le_logproof · cited by 39
Height.logHeightstatement · cited by 35
Height.mulHeight_posproof · cited by 13

Cited by1

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Height.abs_logHeight_sym2_sub_leproof · cited by 0