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Proof step 56 from proof write-loop-0 (previous step)

# content[(ino2 + ino5) / VFS_PAGE_SIZE] = VFS_PAGE_SIZE, VFS_PAGE_SIZE = n0 + (ino2 + ino5) % VFS_PAGE_SIZE, files[m] = mkfile(m3, md0, m4, content), n = min(ino1 - ino2 + ino5, n0), m ∈ files, (ino2 + ino5) / VFS_PAGE_SIZE ∈ content, (ino2 + ino5) % VFS_PAGE_SIZE + min(ino1 - ino2 + ino5, n0) ≤ VFS_PAGE_SIZE, ino5 + min(ino1 - ino2 + ino5, n0) ≤ # buf0, ino2 + ino5 ≤ ino1, ino1 ≥ ino2 + ino5, ⌊err0⌋ , ino5 = 0 → files = files1 ⊦ [skip] (ino5 = 0 → files = files1), min(ino1 - ino2 + ino5, n0) = 0

Heuristic symbolic execution applied rule skip right

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ n + 0 = n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ n ≥ m ↔ m ≤ n; (s)