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theorem proved tactic proof

jfrust_unsat_ge_one

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formal statement (Lean)

  38theorem jfrust_unsat_ge_one {n : ℕ} (f : CNFFormula n) (h : f.isUNSAT) :
  39    JFrust f ≥ 1 := by

proof body

Tactic-mode proof.

  40  unfold JFrust
  41  haveI := Classical.propDecidable f.isSAT
  42  have hns : ¬f.isSAT := by
  43    intro ⟨a, ha⟩; exact absurd ha (by simp [h a])
  44  simp [hns]
  45

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