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Proof step 26 from proof reachable-n-rec-rev2 (previous step)

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

User applied rule exists right

And obtained the following new goals

Proof step 27:
reachable-1(H, r1, H[r1].nxt), reachable-1(H, H[r1].nxt, r0), reachable-n(H, n, r, r1) ⊦ reachable-n(H, (n + 1) + 1, r, r0), reachable-n(H, n + 2, r, r0), reachable-n(H, n + 1, r, H[r1].nxt) ∧ reachable-1(H, H[r1].nxt, r0)

Rule argument

pos: right 3 terms: H[r1].nxt abort: F discard: T computed: T

Additional information

Used terms: H[r1].nxt