Theorems · Definition · number theory
Projectivization.mulHeight
{K : Type u_1} →
[inst : Field K] → [Height.AdmissibleAbsValues K] → {ι : Type u_2} → [Finite ι] → Projectivization K (ι → K) → ℝThe multiplicative height of a point on a finite-dimensional projective space over K
with a given basis.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Finitestatement and proof · cited by 3,029
- Projectivizationstatement and proof · cited by 111
- Height.AdmissibleAbsValuesstatement and proof · cited by 110
- Height.mulHeightproof · cited by 64
- Projectivization.liftproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- Projectivization.mulHeight_mkstatement and proof · cited by 2
- Projectivization.one_le_mulHeightstatement and proof · cited by 2
- Projectivization.logHeight_eq_log_mulHeightstatement and proof · cited by 1
- Projectivization.mulHeight_posstatement · cited by 1
- Projectivization.mulHeight_ne_zerostatement · cited by 0