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Proof step 21 from proof k-reachable-def (previous step)

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

User applied rule exists right

And obtained the following new goals

Proof step 22:
path(H[r].nxt ' + x0, H), reachable-n(H, n, H[r].nxt, x0.last), r ∈ H ⊦ r = null, x0 = [], reachable-n(H, n +1, r, x0.last)

Rule argument

pos: right 3 terms: n +1 abort: F discard: T computed: F

Additional information

Used terms: n +1