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Proof step 45 from proof completeness (previous step)

〈x1 := x〉〈build_rec#(0; x, to)〉 (to ≠ fail → x1 = depths(to .t, 0) + x), x2 = x, x ≠ [], 0 ≤ max(x) ⊦ 〈build_rec#(0; x, to)〉〈to0 := to, x0 := x ; if x0 ≠ [] then to0 := fail〉 (to0 = fail → (∀ t. x2 ≠ depths(t, 0)))

Heuristic symbolic execution applied rule assign left

And obtained the following new goals

Proof step 44:
〈build_rec#(0; x, to)〉 (to ≠ fail → x0 = depths(to .t, 0) + x), x2 = x, x ≠ [], 0 ≤ max(x), x0 = x ⊦ 〈build_rec#(0; x, to)〉〈to0 := to, x0 := x ; if x0 ≠ [] then to0 := fail〉 (to0 = fail → (∀ t. x2 ≠ depths(t, 0)))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]