Theorems · Theorem · number theory
Height.mulHeight_neg
∀ {K : Type u_1} [inst : Field K] [inst_1 : Height.AdmissibleAbsValues K] {ι : Type u_2} (x : ι → K),
Height.mulHeight (-x) = Height.mulHeight xThe multiplicative height of the pointwise negative of a tuple equals its multiplicative height.
- Defined in
- Mathlib.NumberTheory.Height.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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Cited by1
Results whose statement or proof uses this declaration.
- Height.logHeight_negproof · cited by 0