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Proof step 15 from proof process-queue (previous step)

((del-list(to_delete, m + 1) * P))(H), ((del-list(to_delete0, m) * P))(H0) ⊦ ⟪tree_buffer_heap_process_one#(; H0, to_delete0)⟫ ((1 ≤ m → ((del-list(to_delete0, m + 1 - 2) * P))(H0)) ∧ (m = 0 → to_delete0 = [] ∧ P(H0)))

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] → [m, P, to_delete0, H0] flags: List([[1,0,0]])

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