Theorems · Theorem · number theory
Projectivization.one_le_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)), 1 ≤ x.mulHeight- Cited by
- 2 results in Mathlib
- Foundations
- Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Projectivizationstatement and proof · cited by 111
- Height.AdmissibleAbsValuesstatement and proof · cited by 110
- Projectivization.repproof · cited by 13
- Projectivization.rep_nonzeroproof · cited by 12
- Height.one_le_mulHeightproof · cited by 8
- Projectivization.mk_repproof · cited by 8
- Projectivization.mulHeightstatement and proof · cited by 5
- Projectivization.mulHeight_mkproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Projectivization.mulHeight_posproof · cited by 1
- Projectivization.logHeight_nonnegproof · cited by 0