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Proof step 7 from proof reach-n-split (previous step)

H[r].nxt ∈ H, r ∈ H, reachable-n(H, n0 + m0, H[r].nxt, r0), reachable-n(H, m0, H[r].nxt, r1), reachable-n(H, n0, r1, r0) ⊦ r = null, H[r].nxt = null, n0 = 0, ∃ r2. (∃ r1. reachable-1(H, r, r1) ∧ reachable-n(H, m0, r1, r2)) ∧ reachable-n(H, n0, r2, r0)

User applied rule exists right

And obtained the following new goals

Proof step 8:
H[r].nxt ∈ H, r ∈ H, reachable-n(H, n0 + m0, H[r].nxt, r0), reachable-n(H, m0, H[r].nxt, r1), reachable-n(H, n0, r1, r0) ⊦ r = null, H[r].nxt = null, n0 = 0, (∃ r0. reachable-1(H, r, r0) ∧ reachable-n(H, m0, r0, r1)) ∧ reachable-n(H, n0, r1, r0)

Rule argument

pos: right 4 terms: r1 abort: F discard: T computed: T

Additional information

Used terms: r1