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Proof step 3 from proof mklist-rmdup (previous step)

⊦ n = 0, rmdup(x + mklist(a, n)) = rmdup(x) + a ', a ∈ x

User applied rule structural induction

And obtained the following new goals

Proof step 4:
⊦ n = 0, rmdup([] + mklist(a, n)) = rmdup([]) + a ', a ∈ []
Proof step 5:
∀ n, a. n = 0 ∨ rmdup(x0 + mklist(a, n)) = rmdup(x0) + a ' ∨ a ∈ x0 ⊦ n = 0, rmdup((a0 + x0) + mklist(a, n)) = rmdup(a0 + x0) + a ', a ∈ a0 + x0

Rule argument

indvar: x

Additional information

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