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Proof step 19 from proof inv-writepage (previous step)

# buf = VFS_PAGE_SIZE, dirs[m] = mkdir(m4, md1, m5, m6, entries), files[m] = mkfile(m0, md, # links(m, dirs), content), afs-cons(dirs, files), n ∈ content[pageno, buf], ROOT_INO ∈ dirs, m ∈ files ⊦ # content[pageno, buf][n] = VFS_PAGE_SIZE, m ∈ dirs

Heuristic nonsplitting cut applied rule cut formula

And closed the goal!

Rule argument

fma: n = pageno

Additional information

Used simplifier rules: ⊦ n ≠ n0 → content[n0, buf][n] = content[n]; (s)% ⊦ n ≠ n0 → (n ∈ content[n0, buf] ↔ n ∈ content); (s)%⊦ afs-cons(dirs, files) ∧ ino ∈ files ∧ files[ino] = mkfile(m, md, n0, content) ∧ n ∈ content → # content[n] = VFS_PAGE_SIZE; (s)% ⊦ content[n, buf][n] = buf; (s) Used formulas: n = pageno