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Proof step 15 from proof sort-max-last (previous step)

ordered≤(sort(x1 + x0) + a '), sort(x1 + a ' + x0) = sort(x1 + x0) + a ' ⊦ ins≤(a, sort(x1 + x0) + a ') = (sort(x1 + x0) + a ') + a ', a < max((a ' + x1) + x0), a < max(x1 + x0), ordered≤(sort(x1 + x0) + a ') ∧ ¬ a < max(sort(x1 + x0) + a ')

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
sort(x1 + a ' + x0) = sort(x1 + x0) + a ', ordered≤(sort(x1 + x0) + a '), a < max(sort(x1 + x0) + a '), max((a ' + x1) + x0) < max(sort(x1 + x0) + a '), max(x1 + x0) < max(sort(x1 + x0) + a ') ⊦ ins≤(a, sort(x1 + x0) + a ') = (sort(x1 + x0) + a ') + a ', a < max((a ' + x1) + x0), a < max(x1 + x0)

Rule argument

Additional information

Used simplifier rules: nll: ⊦ ¬ b < a ∧ b < c → a < c; (forward) from specification oelem