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Proof step 3 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 cut applied rule cut formula

And obtained the following new goals

Proof step 4:
a = a0, ∀ a. rmdup(x0 + a ') = rmdup(x0 -l a) + a ' ⊦ rmdup((a0 ' + x0) + a ') = rmdup((a0 ' + x0) -l a) + a '
Proof step 9:
∀ a. rmdup(x0 + a ') = rmdup(x0 -l a) + a ' ⊦ a = a0, rmdup((a0 ' + x0) + a ') = rmdup((a0 ' + x0) -l a) + a '

Rule argument

fma: a = a0

Additional information

Used formulas: a = a0