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Proof step 3 from proof in-dels-ro (previous step)

⊦ key ∈ (ri \ ks) \ datakeys(ks, ri) ↔ key ∈ ri ∧ ¬ key ∈ ks ∧ (key.data? → ¬ inodekey(key.ino) ∈ ks)

Heuristic weak cut applied rule cut formula

And closed the goal!

Rule argument

fma: key ∈ ri \ ks

Additional information

Used simplifier rules: datakeys-set: ⊦ key ∈ datakeys(ks, ri) ↔ key ∈ ri ∧ key.data? ∧ inodekey(key.ino) ∈ ks;% ⊦ key ∈ ri \ ks ↔ key ∈ ri ∧ ¬ key ∈ ks; (ws) Used formulas: key ∈ ri \ ks