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Proof step 2 from proof subsize (previous step)

# y < # x, ∀ a. #oc(a, x) ≤ #oc(a, y) ⊦ x = []

User applied rule structural induction

And obtained the following new goals

Proof step 3:
∀ y. # y < # x0 ∧ (∀ a. #oc(a, x0) ≤ #oc(a, y)) → x0 = [], # y < #(a + x0), ∀ a0. #oc(a0, a + x0) ≤ #oc(a0, y) ⊦ a + x0 = []

Rule argument

indvar: x

Additional information

Used simplifier rules: list freely generated by [], +;;