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Proof step 14 from proof completeness (previous step)

x = d ' + y, d < 0, max(d ' + y) < 0, d ≤ max(d ' + y), x2 = x ∧ d1 = 0, h0 = head(x2), to = fail ∧ x0 = x2 ⊦ 〈if x0 ≠ [] then to := fail〉 (to = fail → (∀ t. d ' + y ≠ depths(t, 0)))

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Proof step 13:
x = d ' + y, d < 0, max(d ' + y) < 0, d ≤ max(d ' + y), x2 = x ∧ d1 = 0, h0 = head(x2), to = fail ∧ x0 = x2 ⊦ 〈to := fail〉 (to = fail → (∀ t. d ' + y ≠ depths(t, 0)))

Rule argument

[fmapos-arg: pos: right 1]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ d ' + x ≠ []], [CSIMPSEQ : ⊦ (x + y) + z = x + y + z])]]