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Proof step 11 from proof perm-put-del1 (previous step)

n < # y, y[n] ∈ y, y[n] ∈ y[n, a] -1l a ∨ y[n] ∈ y -1l y[n] ⊦ #oc(y[n], y[n, a] -1l a) = #oc(y[n], y) -1, y = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
n < # y, y[n] ∈ y, y[n] ∈ y[n, a] -1l a ∨ y[n] ∈ y -1l y[n] ⊦ #oc(y[n], y[n, a] -1l a) = #oc(y[n], y) - 1, y = []

Rule argument

Additional information

Used simplifier rules: ⊦ n -1 = n - 1; (s)