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Proof step 180 from proof write-loop-term (previous step)

VFS_PAGE_SIZE = n7 + (n0 + n6) % VFS_PAGE_SIZE, files[m] = mkfile(m1, md0, # links(m, dirs), content), inode = mkinode(m, md, false, # links(m, dirs), 0, m2), ¬ isdir, n1 = n5 + n0 + n6, min(n5, n7) ≠ 0, afs-cons(dirs, files), m ∈ files, n6 ≤ # buf1, n5 + n6 ≤ # buf1, ⌊err0⌋ , ¬ (n0 + n6) / VFS_PAGE_SIZE ∈ content, ∀ n2, n3, n4, files, m, m1, md0, dirs, content, inode, md, m2, isdir, buf, err, asynced. n2 - n3 + n4 < n5 → files[m] = mkfile(m1, md0, # links(m, dirs), content) ∧ inode = mkinode(m, md, false, # links(m, dirs), 0, m2) ∧ ¬ isdir ∧ afs-cons(dirs, files) ∧ m ∈ files ∧ n4 ≤ # buf ∧ n3 + n4 ≤ n2 ∧ n2 ≤ # buf + n3 → ⟪while err = ESUCCESS ∧ ¬ isdir do vfs_write_block#(n3, inode, buf, n2, dirs; n4, isdir, err, files, asynced)⟫ (m ∈ files ∧ # links(m, dirs) = files[m].nlink) ⊦ ⟪while err0 = ESUCCESS ∧ ¬ isdir do vfs_write_block#(n0, inode, buf1, n1, dirs; n6, isdir, err0, files, asynced)⟫ (m ∈ files ∧ # links(m, dirs) = files[m].nlink)

Heuristic loop exit applied rule while exit right

And closed the goal!

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)% ⊦ mkfile(m, md, m0, content).nlink = m0; (s)