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Proof step 28 from proof modify-sym (previous step)

r1 ∈ H0 ⊦ r1 ∈ rs, ∃ n. rtc(n, modify(rs))(H0 -- r1, H0)

User applied rule cut formula

And obtained the following new goals

Proof step 29:
∃ r. ¬ r ∈ H0 ∧ r ≠ null, r1 ∈ H0 ⊦ r1 ∈ rs, ∃ n. rtc(n, modify(rs))(H0 -- r1, H0)
Proof step 31:
r1 ∈ H0 ⊦ ∃ r. ¬ r ∈ H0 ∧ r ≠ null, r1 ∈ rs, ∃ n. rtc(n, modify(rs))(H0 -- r1, H0)

Rule argument

fma: ∃ r. ¬ r ∈ H0 ∧ r ≠ null

Additional information

Used formulas: ∃ r. ¬ r ∈ H0 ∧ r ≠ null