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Proof step 2 from proof delapp (previous step)

⊦ (∀ a0. #oc(a0, x) + #oc(a0, y) ≤ #oc(a0, y -1l a)) ∧ (∀ a0. #oc(a0, y -1l a) ≤ #oc(a0, x) + #oc(a0, y)) ↔ x = [] ∧ ¬ a ∈ y

User applied rule cut formula

And obtained the following new goals

Proof step 3:
x = [] ⊦ (∀ a0. #oc(a0, x) + #oc(a0, y) ≤ #oc(a0, y -1l a)) ∧ (∀ a0. #oc(a0, y -1l a) ≤ #oc(a0, x) + #oc(a0, y)) ↔ x = [] ∧ ¬ a ∈ y
Proof step 7:
⊦ x = [], (∀ a0. #oc(a0, x) + #oc(a0, y) ≤ #oc(a0, y -1l a)) ∧ (∀ a0. #oc(a0, y -1l a) ≤ #oc(a0, x) + #oc(a0, y)) ↔ x = [] ∧ ¬ a ∈ y

Rule argument

fma: x = []

Additional information

Used formulas: x = []