Theorems · Theorem · number theory
Height.AdmissibleAbsValues.isNonarchimedean
∀ {K : Type u_1} {inst : Field K} [self : Height.AdmissibleAbsValues K],
∀ v ∈ Height.AdmissibleAbsValues.nonarchAbsVal, IsNonarchimedean ⇑vThe nonarchimedean absolute values are indeed nonarchimedean.
- Defined in
- Mathlib.NumberTheory.Height.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Height.AdmissibleAbsValues
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- AbsoluteValuestatement · cited by 363
- Height.AdmissibleAbsValuesstatement and proof · cited by 110
- IsNonarchimedeanstatement · cited by 77
- Height.AdmissibleAbsValues.nonarchAbsValstatement · cited by 30
Cited by3
Results whose statement or proof uses this declaration.
- Height.mulHeight_eval_leproof · cited by 3
- Height.mulHeight_linearMap_apply_leproof · cited by 2
- Height.mulHeight₁_sum_leproof · cited by 2