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Proof step 1 from proof one (conclusion)

⊦ unique_al(p ')

Heuristic structural induction applied rule structural induction

And closed the goal!

Rule argument

term: p

Additional information

Used simplifier rules: k-unique-r: ⊦ unique_al(ay) ↔ ay = [] ∨ ¬ ay.first.1 ∈ ay.rest ∧ unique_al(ay.rest);%empty: ⊦ ¬ a ∈ [];%unique-e: ⊦ unique_al([]);%pair freely generated by ×;;%e: ⊦ p ' ≠ []; from specification list[assoclista]%first: ⊦ p '.first = p; from specification list[assoclista]%sel-02: ⊦ (a × d).1 = a; from specification pair%rest: ⊦ p '.rest = []; from specification list[assoclista]