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Proof step 22 from proof path-dups (previous step)

(r ' + x1)[m] = r, path(r ' + x1, H), m ≤ # x1 ⊦ x1 = [], m = 0, ∃ m, n, r0. m < n ∧ reachable-n(H, m, r, r0) ∧ reachable-n(H, n, r, r0)

User applied rule exists right

And obtained the following new goals

Proof step 21:
(r ' + x1)[m] = r, path(r ' + x1, H), m ≤ # x1 ⊦ x1 = [], m = 0, 0 < m ∧ reachable-n(H, 0, r, (r ' + x1)[m]) ∧ reachable-n(H, m, r, (r ' + x1)[m])

Rule argument

[EXRARG : pos: right 3, [extquanttermlist: (0, m, (r ' + x1)[m]) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (0, m, (r ' + x1)[m])]]