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Proof step 16 from proof subrec (previous step)

a ∈ y, #oc(a0, y) < #oc(a0, a ') + #oc(a0, x), ∀ a0. #oc(a0, x) ≤ #oc(a0, y -1l a) ⊦ #oc(a0, a ') + #oc(a0, x) = 0

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 17:
a0 = a, a ∈ y, #oc(a0, y) < #oc(a0, a ') + #oc(a0, x), ∀ a0. #oc(a0, x) ≤ #oc(a0, y -1l a) ⊦ #oc(a0, a ') + #oc(a0, x) = 0
Proof step 19:
a ∈ y, #oc(a0, y) < #oc(a0, a ') + #oc(a0, x), ∀ a0. #oc(a0, x) ≤ #oc(a0, y -1l a) ⊦ a0 = a, #oc(a0, a ') + #oc(a0, x) = 0

Rule argument

fma: a0 = a

Additional information

Used formulas: a0 = a