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Proof step 14 from proof inv-writepage (previous step)

# buf = VFS_PAGE_SIZE, buf0 = buf, dirs0 = dirs, inode0 = mkinode(m, md, boolvar, m0, m1, m2), pageno0 = pageno, afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), pre-writepage(mkinode(m, md, boolvar, m0, m1, m2), pageno, buf, dirs, files), synced(files, icache, pcache), synced(dirs, icache, pcache), m ∈ files ⊦ [afs_writepage#(mkinode(m, md, boolvar, m0, m1, m2), pageno, buf, dirs; err, files; asynced0)] ( afs-cons(dirs0, files) → ⟪asynced2 := false; if err = ESUCCESS then pcache_set#(m, pageno, buf, asynced2; err, pcache)⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ synced(files, icache, pcache) ∧ afs-cons(dirs, files)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
# buf = VFS_PAGE_SIZE, afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), synced(files, icache, pcache), m ∈ files ⊦ [afs_writepage#(mkinode(m, md, boolvar, m0, m1, m2), pageno, buf, dirs; err, files; asynced0)] ( afs-cons(dirs, files) → ⟪asynced2 := false; if err = ESUCCESS then pcache_set#(m, pageno, buf, asynced2; err, pcache)⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ synced(files, icache, pcache)))

Rule argument

Additional information

Used simplifier rules: ⊦ valid-file-ino(ino, dirs, files) ↔ ino ∈ files; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)%⊦ pre-writepage(inode, n, buf, dirs, files) ↔ valid-file-ino(inode.ino, dirs, files) ∧ # buf = VFS_PAGE_SIZE; (s)