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Theorem hpal-next

finout(g) ⊦ ∀ x. x ≠ [] ∧ pathp(g)(⌜x⌝ ) ∧ haspathanylength(g)(x.last) → (∃ y. (∃ b. y = x + b ') ∧ pathp(g)(⌜y⌝ ) ∧ haspathanylength(g)(y.last))

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