Mathlib Map

Theorems · Theorem · number theory

Height.logHeight_nonneg

∀ {K : Type u_1} [inst : Field K] [inst_1 : Height.AdmissibleAbsValues K] {ι : Type u_2} [Finite ι] (x : ι → K),
  0 ≤ Height.logHeight x
Defined in
Mathlib.NumberTheory.Height.Basic
Cited by
1 results in Mathlib
Foundations
Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldHeight.AdmissibleAbsValuesFinite
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Height.logHeight_linearMap_apply_le · cited by 0Height.logHeight_linearMa…Real · cited by 25697RealField · cited by 7404FieldFinite · cited by 3029FiniteHeight.AdmissibleAbsValues · cited by 110Height.AdmissibleAbsValuesHeight.logHeight · cited by 35Height.logHeightReal.log_nonneg · cited by 28Real.log_nonnegHeight.one_le_mulHeight · cited by 8Height.one_le_mulHeightHeight.logHeight_nonnegCITED BYCITES

Cites7

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Cited by1

Results whose statement or proof uses this declaration.