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Proof step 32 from proof inv-write (previous step)

avols[v][m2].mapped?, m2 < # avols[v], ebm-cons(avols), is-aligned(m1, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), v ∈ avols, m1 + n ≤ LEB_SIZE, n + n2 ≤ # buf, avols[v][m2].fill ≤ m1 ⊦ n = 0, m2 < # avols[v] ∧ v ∈ avols ∧ (0 + m1 ≤ # avols[v][m2].data ∧ avols[v][m2].mapped? ∧ m2 < # avols[v] ∧ v ∈ avols) ∧ n2 + n ≤ # buf ∧ LEB_SIZE - m1 ≥ n ∧ LEB_SIZE ≥ m1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 33:
avols[v][m2].mapped?, m2 < # avols[v], # avols[v][m2].data < m1, # avols[v][m2].data < LEB_SIZE, ebm-cons(avols), is-aligned(m1, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), v ∈ avols, m1 + n ≤ LEB_SIZE, n + n2 ≤ # buf, avols[v][m2].fill ≤ m1, m1 ≤ LEB_SIZE, avols[v][m2].fill ≤ LEB_SIZE ⊦ n = 0

Rule argument

Additional information

Used simplifier rules: ⊦ LEB_SIZE ≠ 0; (s)%let: ⊦ n ≤ n0 ∧ n0 ≤ n1 → n ≤ n1; (forward) from specification nat%fle: ⊦ m < n ∧ n ≤ n0 → m < n0; (forward) from specification nat% ⊦ ¬ m + n < m; (s)% ⊦ m < n → n ≠ 0; (s)%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%n0 ≤ n ⊦ m ≤ n - n0 ↔ m + n0 ≤ n; (s)% ⊦ m < n → (n ≤ m ↔ false); (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ n ≥ m ↔ m ≤ n; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)