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Proof step 1 from proof cons-03 (conclusion)

⊦ ordered≤(a ' + x) → ins≤(a, x) = a ' + x

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
ordered≤(a ' + x) ⊦ ins≤(a, x) = a ' + x

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