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Proof step 2 from proof app-03 (previous step)

⊦ (∀ a. #oc(a, y) = 0) ↔ y = []

Heuristic structural induction applied rule structural induction

And obtained the following new goals

Proof step 3:
(∀ a. #oc(a, y0) = 0) ↔ y0 = [] ⊦ (∀ a0. #oc(a0, a + y0) = 0) ↔ a + y0 = []

Rule argument

term: y

Additional information

Used simplifier rules: oc-e: ⊦ #oc(a, []) = 0;%list freely generated by [], +;;