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Proof step 15 from proof max-perm (previous step)

max(ints1) = max(ints0 -1l i), i ∈ ints0, perm(ints1, ints0 -1l i) ⊦ ints1 = [], max(i, max(ints1)) = max(ints0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 16:
⊦ ¬ j < i → max(j, i) = j
Proof step 17:
¬ ¬ i < max(ints1), max(ints1) = max(ints0 -1l i), i ∈ ints0, perm(ints1, ints0 -1l i) ⊦ ints1 = [], max(i, max(ints1)) = max(ints0)
Proof step 24:
¬ i < max(ints1), max(ints1) = max(ints0 -1l i), i ∈ ints0, perm(ints1, ints0 -1l i) ⊦ ints1 = [], i = max(ints0)

Rule argument

spec: int-min inst: name: Max-left seq: ⊦ ¬ j < i → max(j, i) = j subst: [i, j] → [max(ints1), i] flags: rewrite

Additional information

Used terms: max(ints1), i