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Proof step 145 from proof inv-writepage (previous step)

# buf = VFS_PAGE_SIZE, asynced2 ↔ true, ¬ asynced, inode = mkinode(m, md, boolvar, m0, m1, m2), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ files, asynced → synced(files, icache, pcache) ⊦ ⟪err := ESUCCESS; if err = ESUCCESS then pcache_set#(inode.ino, pageno, buf, asynced2; err, pcache)⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced → synced(files, icache, pcache)) ∧ afs-cons(dirs, files))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 146:
# 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), m ∈ files ⊦ ⟪err := ESUCCESS; if err = ESUCCESS then pcache_set#(m, pageno, buf, true; err, pcache)⟫ (pcache-cons(pcache, dirs, files) ∧ synced(dirs, icache, pcache))

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)