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Proof step 70 from proof completeness-rec (conclusion)

x ≠ [], x = x0, i ≤ j, max(x) ≤ j ⊦ 〈build_rec#(i; x, to)〉 (to = fail → ¬ (∃ t, x1. x0 = depths(t, i) + x1))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 69:
x = x0, x0 ≠ [], i ≤ j, max(x0) ≤ j ⊦ 〈build_rec#(i; x, to)〉 (to = fail → (∀ t, x1. x0 ≠ depths(t, i) + x1))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]