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Proof step 15 from proof truncate-empty (previous step)

files[ino] = mkfile(m, md0, # links(ino, dirs), content), buf-opt = none, inode = mkinode(ino, md1, false, # links(ino, dirs), 0, n), old_ino = 0, old_ino0 = 0, pageno = n / VFS_PAGE_SIZE, afs-cons(dirs, files), ino ∈ files ⊦ [let ino = inode.ino, content = files[inode.ino].content, buf = ? in {old_ino0 := inode.size % VFS_PAGE_SIZE, old_ino := min(n, inode.size); asynced0 := inode.size ≤ n ∧ old_ino0 ≠ 0 ∧ (pageno ∈ content ∨ buf-opt.some?); if asynced0 then {if buf-opt.some? then buf := buf-opt.buf else buf := files[ino].content[pageno]; buf := fill(buf, zero, old_ino0, VFS_PAGE_SIZE - old_ino0); content[pageno] := buf; buf-opt := some(buf)}; files[ino].content := content upto old_ino; let new_inode = inode in {new_inode.size := n; afs_inode_sync#(new_inode; dirs, files)}; inode := getinode(inode.ino, dirs, files); err := ESUCCESS}; asynced := ?] (err = ESUCCESS → files[ino].content.stream from n = σ⊥), VFS_PAGE_SIZE = 0

Heuristic symbolic execution applied rule let right

And obtained the following new goals

Rule argument

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