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Proof step 18 from proof inv-truncate-buff-none-uncached (previous step)

asynced ↔ asynced5, asynced0 ↔ asynced1, files[m] = mkfile(m1, md1, # links(m, dirs), content0), ¬ asynced1, ¬ asynced5, err = ESUCCESS, ino = m, key = datakey(ino, pageno), pageno = m2 / 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, asynced2 → synced(files, icache, pcache) ⊦ ⟪if key ∈ pcache then {asynced0 := true; asynced := pcache[key].dirty} else asynced0 := false; pageno := m2 / VFS_PAGE_SIZE; asynced1 := asynced0; if err = ESUCCESS ∧ asynced1 then pcache_get#(m, pageno, pcache; asynced1, buf, err); buf-opt := none; if err = ESUCCESS ∧ asynced1 then buf-opt := some(buf); size := m2; inode := mkinode(m, md, false, # links(m, dirs), 0, m2); if err = ESUCCESS then afs_truncate#(n, pageno; buf-opt, inode, asynced4, err, dirs, files, asynced3); if err = ESUCCESS then let asynced = false in {icache_set#(inode, asynced; err, icache); pcache_truncate#(inode.ino, size, n; err, pcache); if asynced4 then pcache_set#(inode.ino, pageno, buf-opt.buf, asynced; err, pcache)}; if ¬ asynced4 ∨ err ≠ ESUCCESS then buf-opt := none⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ afs-cons(dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced2 → synced(files, icache, pcache))), VFS_PAGE_SIZE = 0, datakey(m, m2 / VFS_PAGE_SIZE) ∈ pcache

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

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