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Proof step 11 from proof union-left-singleton (previous step)

r0 ∈ (∅ ++ r)[r, H[r]] ∪ (H -- r), r ∈ H, r0 ∈ H ⊦ (r0 = r ⊃ H[r];H[r0]) = H[r0]

Heuristic nonsplitting cut applied rule cut formula

And closed the goal!

Rule argument

fma: r0 = r

Additional information

Used formulas: r0 = r