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Proof step 2 from proof del-rmdup (previous step)

∀ a. rmdup(x0 -l a) = rmdup(x0) -l a ⊦ rmdup((a0 + x0) -l a) = rmdup(a0 + x0) -l a

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
∀ a. rmdup(x0 -l a) = rmdup(x0) -l a ⊦ rmdup((a0 ' + x0) -l a) = rmdup(a0 ' + x0) -l a

Rule argument

Additional information

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