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Proof step 35 from proof crash-neutral-write (previous step)

# avols[v] = # avols0[v], m < # avols0[v], m2 < # avols0[v], ebm-cons(avols), ebm-cons(avols0), is-aligned(m1, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), v ∈ avols0, v ∈ avols, m1 + n ≤ LEB_SIZE, n + n2 ≤ # buf, ∀ m. m < # avols0[v] ∧ avols[v][m] ≠ unmapped → (avols[v][m] = erased → avols0[v][m] = erased) ∧ (avols[v][m].mapped? → avols0[v][m] = avols[v][m]) ⊦ avols[v][m2, unmapped][m] = unmapped, n = 0, avols[v][m2].mapped?, (avols[v][m] = erased → avols0[v][m] = erased) ∧ (avols[v][m].mapped? → avols0[v][m] = avols[v][m])

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 36:
# avols[v] = # avols0[v], m2 < # avols0[v], m < # avols0[v], ebm-cons(avols0), ebm-cons(avols), is-aligned(n, EB_PAGE_SIZE), is-aligned(m1, EB_PAGE_SIZE), v ∈ avols, v ∈ avols0, n + n2 ≤ # buf, m1 + n ≤ LEB_SIZE, ∀ m. m < # avols0[v] ∧ avols[v][m] ≠ unmapped → (avols[v][m] = erased → avols0[v][m] = erased) ∧ (avols[v][m].mapped? → avols0[v][m] = avols[v][m]) ⊦ avols[v][m2, unmapped][m] = unmapped, m = m2, n = 0, avols[v][m2].mapped?, (avols[v][m] = erased → avols0[v][m] = erased) ∧ (avols[v][m].mapped? → avols0[v][m] = avols[v][m])

Rule argument

fma: m = m2

Additional information

Used simplifier rules: ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m < n → (n ≤ m ↔ false); (s)%m < # evol ⊦ evol[m, leb][m] = leb; (s) Used formulas: m = m2