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Proof step 11 from proof reachable-n-rec-rev2 (previous step)

reachable-n(H, (n + 1) + 1, r, r0), reachable-n(H, n, r, r2), reachable-1(H, r2, r1), reachable-1(H, r1, r0), reachable-n(H, n + 2, r, r0) ⊦ ∃ r1. reachable-n(H, n, r, r1) ∧ reachable-1(H, r1, H[r1].nxt) ∧ reachable-1(H, H[r1].nxt, r0)

User applied rule exists right

And obtained the following new goals

Proof step 12:
reachable-n(H, (n + 1) + 1, r, r0), reachable-n(H, n, r, r2), reachable-1(H, r2, r1), reachable-1(H, r1, r0), reachable-n(H, n + 2, r, r0) ⊦ reachable-n(H, n, r, r2) ∧ reachable-1(H, r2, H[r2].nxt) ∧ reachable-1(H, H[r2].nxt, r0)

Rule argument

pos: right 1 terms: r2 abort: F discard: T computed: F

Additional information

Used terms: r2