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Proof step 65 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 = [], n < m ∧ reachable-n(H, n, r, (r ' + x1)[m]) ∧ reachable-n(H, m, r, (r ' + x1)[m])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 64:
(r ' + x1)[m] = (r ' + x1)[n], n < m, path(r ' + x1, H), m ≤ # x1, n < # x1 ⊦ n = 0, m = n, x1 = [], reachable-n(H, n, r, (r ' + x1)[n]) ∧ reachable-n(H, m, r, (r ' + x1)[n])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]