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Proof step 66 from proof path-dups (previous step)

(r ' + x1)[m] = (r ' + x1)[n], n < m, path(r ' + x1, H), m ≤ # x1, n < # x1 ⊦ n = 0, m = n, x1 = [], ∃ 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 65:
(r ' + x1)[m] = (r ' + x1)[n], n < m, path(r ' + x1, H), m ≤ # x1, n < # x1 ⊦ n = 0, m = n, x1 = [], n < m ∧ reachable-n(H, n, r, (r ' + x1)[m]) ∧ reachable-n(H, m, r, (r ' + x1)[m])

Rule argument

[EXRARG : pos: right 4, [extquanttermlist: (n, m, (r ' + x1)[m]) abort:F , discard:T , computed:F ]]

Additional information

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