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Proof step 8 from proof del-rmdup (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information