Theorems · Theorem · number theory
Height.logHeight_eq_log_mulHeight
∀ {K : Type u_1} [inst : Field K] [inst_1 : Height.AdmissibleAbsValues K] {ι : Type u_2} (x : ι → K),
Height.logHeight x = Real.log (Height.mulHeight x)- Defined in
- Mathlib.NumberTheory.Height.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.logstatement · cited by 939
- Height.AdmissibleAbsValuesstatement and proof · cited by 110
- Height.mulHeightstatement · cited by 64
- Height.logHeightstatement · cited by 35
Cited by2
Results whose statement or proof uses this declaration.
- Height.logHeight₁_div_eq_logHeightproof · cited by 0
- Rat.logHeight_eq_max_abs_of_gcd_eq_oneproof · cited by 0