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Proof step 3 from proof subdel-02 (previous step)

⊦ (x -1l a) -l a ⊆m y -l a ∧ #oc(a, x -1l a) ≤ #oc(a, y) ↔ x -l a ⊆m y -l a ∧ #oc(a, x) ≤ #oc(a, y) + 1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
x -l a ⊆m y -l a ⊦ #oc(a, x -1l a) ≤ #oc(a, y) ↔ #oc(a, x) ≤ #oc(a, y) + 1

Rule argument

Additional information

Used simplifier rules: ⊦ (x -1l a) -l a = x -l a; (s)