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Proof step 1 from proof del1 (conclusion)

⊦ a ∈ x → #oc(a, x -1l a) = #oc(a, x) -1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
a ∈ x ⊦ #oc(a, x -1l a) = #oc(a, x) - 1

Rule argument

Additional information

Used simplifier rules: pred-03: ⊦ n -1 = n - 1; from specification nat