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Proof step 12 from proof sw-del-add (previous step)

r1 ∈ H ⊦ ((H -- r0) ++ r)[r1] = (H ++ r)[r1], r = null, r0 = r, r1 = r0, r ∈ H

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 13:
r1 ∈ H ⊦ ((H -- r0) ++ r)[r1] = (H ++ r)[r1], r = null, r0 = r, r1 = r0, r1 = r, r ∈ H

Rule argument

fma: r1 = r

Additional information

Used formulas: r1 = r