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Proof step 2 from proof del1-01 (previous step)

⊦ filter(rmdup(x), y -1l a) = filter(rmdup(x), y), a ∈ x

User applied rule structural induction

And obtained the following new goals

Proof step 3:
∀ y, a. filter(rmdup(x0), y -1l a) = filter(rmdup(x0), y) ∨ a ∈ x0 ⊦ filter(rmdup(a0 + x0), y -1l a) = filter(rmdup(a0 + x0), y), a ∈ a0 + x0

Rule argument

indvar: x

Additional information

Used simplifier rules: filt-e: ⊦ filter([], y) = [];%list freely generated by [], +;;%rmdup-e: ⊦ rmdup([]) = []; from specification list-dup