OAI/NumberTheory/JointDickman/Arithmetic/SieveAffineLines.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

Cardinality of a proper affine line over a prime residue field

  1. def OAI.JointDickman.affineResidueLine line 13
  2. theorem OAI.JointDickman.affineResidueLine_card_le line 17

    Source documentation

    A proper affine line has at most p residue pairs.

    theorem affineResidueLine_card_le {p : ℕ} (hp : p.Prime)
    (a b c : ZMod p) (hproper : a ≠ 0 ∨ b ≠ 0) :
    letI : NeZero p := ⟨hp.ne_zero⟩
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