Theorems · Definition · number theory
Height.logHeight
{K : Type u_1} → [inst : Field K] → [Height.AdmissibleAbsValues K] → {ι : Type u_2} → (ι → K) → ℝThe logarithmic height of a tuple of elements of K.
- Defined in
- Mathlib.NumberTheory.Height.Basic
- Cited by
- 35 results in Mathlib
- Foundations
- Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- Real.logproof · cited by 939
- Height.AdmissibleAbsValuesstatement and proof · cited by 110
- Height.mulHeightproof · cited by 64
Cited by36
Results whose statement or proof uses this declaration.
- Projectivization.logHeightproof · cited by 3
- Height.logHeight_eq_log_mulHeightstatement · cited by 2
- Height.logHeight_eval_lestatement · cited by 1
- Height.logHeight_eval_le'statement · cited by 1
- Height.logHeight_nonnegstatement · cited by 1
- Height.logHeight_onestatement · cited by 1
- Height.logHeight_sym2_gestatement · cited by 1
- Height.logHeight_sym2_lestatement · cited by 1
- Height.logHeight_zerostatement · cited by 1
- Projectivization.logHeight_mkstatement · cited by 1
- Height.fun_logHeight_zerostatement · cited by 1
- Height.logHeight_eq_zero_of_subsingletonstatement · cited by 1