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Proof step 13 from proof max-del1-01 (previous step)

i0 < max(i0, max(ints0 -1l i)), max(ints0) < max(i0, max(ints0 -1l i)), ∀ i1. max(ints0) < max(ints0 -1l i1) → ints0 = i1 ' ∧ i1 < 0 ⊦ i = i0, i0 ' + ints0 = i ', ints0 = [], ints0 = i '

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-min inst: name: Max-left seq: ⊦ ¬ j < i → max(j, i) = j subst: [i, j] → [max(ints0 -1l i), i0] flags: rewrite

Additional information

Used simplifier rules: irreflexivity: ⊦ ¬ i < i; from specification oelem[intlista] Used terms: max(ints0 -1l i), i0