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Proof step 23 from proof k-reachable-def (previous step)

reachable-n(H, n, H[r].nxt, x0.last), path(H[r].nxt ' + x0, H), r ∈ H ⊦ x0 = [], r = null, ∃ r1. reachable-1(H, r, r1) ∧ reachable-n(H, n, r1, x0.last)

User applied rule exists right

And obtained the following new goals

Proof step 24:
reachable-n(H, n, H[r].nxt, x0.last), path(H[r].nxt ' + x0, H), r ∈ H ⊦ x0 = [], r = null, reachable-1(H, r, H[r].nxt) ∧ reachable-n(H, n, H[r].nxt, x0.last)

Rule argument

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

Additional information

Used terms: H[r].nxt