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Proof step 3 from proof rm-nodups (previous step)

¬ dups(rmdup(x0)), dups(rmdup(a + x0)) ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
dups(rmdup(a ' + x0)) ⊦ dups(rmdup(x0))

Rule argument

Additional information

Used simplifier rules: c: ⊦ a + x = a ' + x; from specification list