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Proof step 11 from proof del-rmdup (previous step)

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

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 1 terms: a0

Additional information

Used simplifier rules: in-03: ⊦ ¬ a ∈ x → x -l a = x; Used terms: a0