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Proof step 9 from proof rmdup-last (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
∀ a. rmdup(x0 + a ') = rmdup(x0 -l a) + a ' ⊦ a = a0, rmdup((a0 ' + x0) + a ') = rmdup(a0 ' + (x0 -l a)) + a '

Rule argument

Additional information

Used simplifier rules: del-n: ⊦ a ≠ b → (b ' + x) -l a = b ' + (x -l a);%a: ⊦ (x + y) + z = x + y + z; from specification list