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Theorems · Theorem · number theory

padicValInt.one

∀ {p : ℕ}, padicValInt p 1 = 0

padicValInt p 1 is 0 for any p.

Defined in
Mathlib.NumberTheory.Padics.PadicVal.Basic
Cited by
1 results in Mathlib
Foundations
Depth 58 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.one · cited by 5padicValRat.onepadicValNat · cited by 106padicValNatpadicValInt · cited by 22padicValIntpadicValNat_one_right · cited by 11padicValNat_one_rightInt.natAbs_of_isUnit · cited by 11Int.natAbs_of_isUnitpadicValInt.oneCITED BYCITES

Cites4

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

Cited by1

Results whose statement or proof uses this declaration.