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Theorems · Theorem · number theory

padicNorm.padicNorm_p

∀ {p : ℕ}, 1 < p → padicNorm p ↑p = (↑p)⁻¹

The p-adic norm of p is p⁻¹ if p > 1. See also padicNorm.padicNorm_p_of_prime for a version assuming p is prime.

Defined in
Mathlib.NumberTheory.Padics.PadicNorm
Cited by
2 results in Mathlib
Foundations
Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

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