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Proof step 18 from proof mapex-new (previous step)

⊦ P(mk(rs, f)) ↔ P(mk(rs ++ r, f) -- r), r = null, r ∈ rs

User applied rule cut formula

And obtained the following new goals

Proof step 19:
⊦ mk(rs ++ r, f) -- r = mk(rs, f), P(mk(rs, f)) ↔ P(mk(rs ++ r, f) -- r), r = null, r ∈ rs

Rule argument

fma: mk(rs ++ r, f) -- r = mk(rs, f)

Additional information

Used formulas: mk(rs ++ r, f) -- r = mk(rs, f)