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

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

Used simplifier rules: a: ⊦ (x + y) + z = x + y + z; from specification list%c: ⊦ a + x = a ' + x; from specification list