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Proof step 13 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 ⊦ 〈to := fail〉 (to = fail → (∀ t. d ' + y ≠ depths(t, 0)))

Heuristic symbolic execution applied rule assign right

And closed the goal!

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ d ' + x = y → d ∈ y], [CSIMPSEQ : ⊦ (x + y) + z = x + y + z], [CSIMPFORWARD : ⊦ j < i ∧ i ≤ 0 → j < 0], [CSIMPSEQ : ⊦ d ∈ depths(t, i) → (d < i ↔ false)])]]