Theorems · Theorem · number theory
Height.mulHeight_comp_equiv
∀ {K : Type u_1} [inst : Field K] [inst_1 : Height.AdmissibleAbsValues K] {ι : Type u_2} {ι' : Type u_3} (e : ι ≃ ι')
(x : ι' → K), Height.mulHeight (x ∘ ⇑e) = Height.mulHeight xThe multiplicative height does not change under re-indexing.
- Defined in
- Mathlib.NumberTheory.Height.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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Cited by7
Results whose statement or proof uses this declaration.
- Height.mulHeight_cons_cons_zeroproof · cited by 3
- Height.mulHeight_mul_mulHeightproof · cited by 2
- Height.mulHeight_cons_zeroproof · cited by 2
- Height.mulHeight_swapproof · cited by 2
- Height.mulHeight_cons_cons_cons_zeroproof · cited by 1
- Height.mulHeight_eq_mulHeight_restrict_supportproof · cited by 1
- Height.logHeight_comp_equivproof · cited by 0