Theorems · Theorem · number theory
Projectivization.logHeight_eq_log_mulHeight
∀ {K : Type u_1} [inst : Field K] [inst_1 : Height.AdmissibleAbsValues K] {ι : Type u_2} [inst_2 : Finite ι]
(x : Projectivization K (ι → K)), x.logHeight = Real.log x.mulHeight- Cited by
- 1 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- Finitestatement and proof · cited by 3,029
- Real.logstatement and proof · cited by 939
- Projectivizationstatement and proof · cited by 111
- Height.AdmissibleAbsValuesstatement and proof · cited by 110
- Height.mulHeightproof · cited by 64
- Projectivization.mkproof · cited by 55
- Projectivization.repproof · cited by 13
- Projectivization.rep_nonzeroproof · cited by 12
- Projectivization.mk_repproof · cited by 8
- Projectivization.mulHeightstatement and proof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Projectivization.logHeight_nonnegproof · cited by 0