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Theorems · Theorem · number theory

padicValRat.one

∀ {p : ℕ}, padicValRat p 1 = 0

padicValRat p 1 is 0 for any p.

Defined in
Mathlib.NumberTheory.Padics.PadicVal.Basic
Cited by
5 results in Mathlib
Foundations
Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

padicValRat.inv · cited by 5padicValRat.invpadicValRat.pow · cited by 4padicValRat.powpadicValRat_two_harmonic · cited by 2padicValRat_two_harmonicpadicNorm.one · cited by 0padicNorm.onePadicSeq.norm_one · cited by 0PadicSeq.norm_oneNat.cast_zero · cited by 1870Nat.cast_zerosub_self · cited by 996sub_selfpadicValRat · cited by 49padicValRatpadicValNat_one_right · cited by 11padicValNat_one_rightpadicValInt.one · cited by 1padicValInt.onepadicValRat.oneCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.