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Proof step 7 from proof rmdup (previous step)

∀ a. ¬ a ∈ x ⊦ ∀ a. ¬ a ∈ rmdup(x)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
a ∈ rmdup(x), a ∈ x, ∀ a. ¬ a ∈ x ⊦

Rule argument

Additional information

Used simplifier rules: rm-in-01: ⊦ a ∈ rmdup(x) → a ∈ x; (forward) from specification list-dup