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Proof step 44 from proof completeness (previous step)

〈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)))

Heuristic contract and execute applied rule execute call

And obtained the following new goals

Proof step 43:
〈build_rec#(0; x, to)〉 (x = x1 ∧ to = to1), x2 = x, x ≠ [], 0 ≤ max(x), x0 = x, to1 ≠ fail → x0 = depths(to1 .t, 0) + x1 ⊦ 〈to0 := to1, x0 := x1〉〈if x0 ≠ [] then to0 := fail〉 (to0 = fail → (∀ t. x2 ≠ depths(t, 0)))

Rule argument

[fmaposlist-arg: (pos: left 1, pos: right 1)]

Additional information

[[CONCRETESIMPRULES : ()]]