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Proof step 48 from proof truncate-inv (previous step)

⟨let new_inode = inode in {new_inode.size := m0; files1[ino2].content := content2 upto ino0; afs_inode_sync#(new_inode; dirs, files1)}; inode := getinode(inode.ino, dirs, files1); err := ESUCCESS⟩ ( ino = ino1 ∧ ino0 = ino3 ∧ (isdir ↔ isdir0) ∧ pageno1 = pageno0 ∧ buf-opt0 = buf-opt1 ∧ files1 = files0 ∧ dirs = dirs0 ∧ inode = inode0 ∧ err = ESUCCESS), ⟨if isdir then {pageno := m0 / VFS_PAGE_SIZE; if buf-opt.some? then buf := buf-opt.buf else buf := files1[ino2].content[pageno]; buf := fill(buf, zero, ino, VFS_PAGE_SIZE - ino); content[pageno] := buf; buf-opt := some(buf)}⟩ (pageno = pageno1 ∧ buf = buf0 ∧ content = content2 ∧ buf-opt = buf-opt0), isdir ↔ inode.size ≤ m0 ∧ ino ≠ 0 ∧ (m0 / VFS_PAGE_SIZE ∈ content ∨ buf-opt.some?), files1[ino4] = mkfile(m0, md, # links(ino4, dirs), content0), files0[ino4] = mkfile(m, md0, m1, content1), buf-opt = none, content = files1[inode.ino].content, ino = inode.size % VFS_PAGE_SIZE, ino0 = min(m0, inode.size), ino2 = inode.ino, ino5 = 0, ino6 = 0, inode = mkinode(ino4, md, false, # links(ino4, dirs), 0, m0), afs-cons(dirs0, files0), afs-cons(dirs, files1), files1 ~ files0, ino4 ∈ files1, inode.size ≤ m0 → ino ≠ 0 → VFS_PAGE_SIZE ≠ 0 ⊦ VFS_PAGE_SIZE = 0, content1.stream from m0 = σ⊥

Heuristic symbolic execution applied rule let left

And obtained the following new goals

Rule argument

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