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Proof step 9 from proof max-perm (previous step)

¬ ints1 ≠ [], perm(ints1, ints0 -1l i), i ∈ ints0, ∀ ints0. perm(ints1, ints0) → max(ints1) = max(ints0) ⊦ max(i ' + ints1) = max(ints0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
ints0 -1l i = [], i ∈ ints0 ⊦ i = max(ints0)

Rule argument

Additional information

Used simplifier rules: max-one: ⊦ max(i ') = i;%empty-01: ⊦ perm([], ints) ↔ ints = []; from specification list-perm[intlista]%a: ⊦ (ints + ints0) + ints1 = ints + ints0 + ints1; from specification list[intlista]%app: ⊦ ints + [] = ints; from specification list[intlista]