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Proof step 18 from proof del1-01 (previous step)

(a2 ' + y) -1l a = a3 ' + y0, ordered≤(a2 ' + y), ordered≤((a2 ' + y) -1l a), ∀ a1. ordered≤((a2 ' + y) -1l a1) ⊦ a = a0, a2 < a0, ¬ a3 < a0 ∧ ordered≤(a3 ' + y0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: cons-02: ⊦ ordered≤(a ' + x) → ordered≤(x);%app-01: ⊦ ordered≤(x + y) → ordered≤(y);%a: ⊦ (x + y) + z = x + y + z; from specification list