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Proof step 3 from proof ordered-postfix (previous step)

ordered≤(x0), x ⊒ x0 ⊦ ordered≤(x)

User applied rule structural induction

And obtained the following new goals

Proof step 4:
ordered≤(a + x1), x ⊒ a + x1, ∀ x. ordered≤(x1) ∧ x ⊒ x1 → ordered≤(x) ⊦ ordered≤(x)

Rule argument

indvar: x0

Additional information

Used simplifier rules: list freely generated by [], +;;% ⊦ x ⊒ [] ↔ x = []; (s)