Mathlib Map

Theorems · Theorem · number theory

Height.mulHeight_ne_zero

∀ {K : Type u_1} [inst : Field K] [inst_1 : Height.AdmissibleAbsValues K] {ι : Type u_2} [Finite ι] (x : ι → K),
  Height.mulHeight x ≠ 0
Defined in
Mathlib.NumberTheory.Height.Basic
Cited by
1 results in Mathlib
Foundations
Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldHeight.AdmissibleAbsValuesFinite
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Height.logHeight_fun_prod_eq · cited by 0Height.logHeight_fun_prod…Real · cited by 25697RealField · cited by 7404FieldFinite · cited by 3029FiniteLT.lt.ne' · cited by 1417lt.ne'Height.AdmissibleAbsValues · cited by 110Height.AdmissibleAbsValuesHeight.mulHeight · cited by 64Height.mulHeightHeight.mulHeight_pos · cited by 13Height.mulHeight_posHeight.mulHeight_ne_zeroCITED BYCITES

Cites7

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Cited by1

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