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Proof step 2 from proof f-rm (previous step)

∀ y. filter(rmdup(x0), y) = rmdup(filter(x0, y)) ⊦ filter(rmdup(a + x0), y) = rmdup(filter(a + x0, y))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
∀ y. filter(rmdup(x0), y) = rmdup(filter(x0, y)) ⊦ filter(rmdup(a ' + x0), y) = rmdup(filter(a ' + x0, y))

Rule argument

Additional information

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