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Proof step 3 from proof process-queue (previous step)

((del-list(to_delete, n) * P))(H) ⊦ ⟪tree_buffer_heap_process_one#(; H, to_delete); tree_buffer_heap_process_one#(; H, to_delete)⟫ ((2 ≤ n → ((del-list(to_delete, n - 2) * P))(H)) ∧ (n < 2 → to_delete = [] ∧ P(H)))

User applied rule insert program lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: process-one seq: ((del-list(to_delete, n) * P))(H) ⊦ ⟪tree_buffer_heap_process_one#(; H, to_delete)⟫ ( (n ≥ 1 → ((del-list(to_delete, n - 1) * P))(H)) ∧ (n = 0 → to_delete = [] ∧ ((del-list([], 0) * P))(H))) subst: [n, P, to_delete, H] → [n, P, to_delete, H] flags: List([[1,0,0]])

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