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Theorems · Theorem · number theory

padicValNat.pow_two_sub_pow

∀ {x y : ℕ},
  y < x →
    2 ∣ x - y →
      ¬2 ∣ x →
        ∀ {n : ℕ},
          n ≠ 0 →
            Even n → padicValNat 2 (x ^ n - y ^ n) + 1 = padicValNat 2 (x + y) + padicValNat 2 (x - y) + padicValNat 2 n
Defined in
Mathlib.NumberTheory.Multiplicity
Cited by
1 results in Mathlib
Foundations
Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
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padicValNat.pow_two_sub_one · cited by 1padicValNat.pow_two_sub_o…ENat · cited by 4985ENatNat.cast_add · cited by 586Nat.cast_addEven · cited by 444Evenemultiplicity · cited by 156emultiplicitypadicValNat · cited by 106padicValNatNat.cast_inj · cited by 70Nat.cast_injpadicValNat_eq_emultiplicity · cited by 9padicValNat_eq_emultiplic…Nat.two_pow_sub_pow · cited by 1Nat.two_pow_sub_powpadicValNat.pow_two_sub_powCITED BYCITES

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