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Proof step 34 from proof path-dups (previous step)

n ≠ 0 ∧ n ≤ # x1, (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]), path(r ' + firstn(n, x1), H) ∧ x1[n -1] = (r ' + x1)[n]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 33:
(r ' + x1)[m] = (r ' + x1)[n], n < m, path(r ' + x1, H), m ≤ # x1, n < # x1 ⊦ m = n, x1 = [], n = 0, reachable-n(H, n, r, (r ' + x1)[n]), path(r ' + firstn(n, x1), H) ∧ x1[n - 1] = (r ' + x1)[n]

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ n -1 = n - 1], [CSIMPSEQ : ⊦ m < n → m ≤ n])]]