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Proof step 20 from proof del-04 (previous step)

#oc(a, x) = m + 1, perm(y, x), a ∈ x, a ∈ y, ∀ a. a ∈ x ∨ a ∈ y → #oc(a, x) = #oc(a, y), a ∈ x -1l a ∨ a ∈ y -1l a ⊦ m = #oc(a, y) -1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 21:
#oc(a, x) = m + 1, perm(y, x), a ∈ y, a ∈ x, ∀ a. a ∈ x ∨ a ∈ y → #oc(a, x) = #oc(a, y), a ∈ x -1l a ∨ a ∈ y -1l a ⊦ m = #oc(a, y) - 1

Rule argument

Additional information

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