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Proof step 5 from proof inv-readdir (previous step)

afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ dirs, asynced → synced(files, icache, pcache) ⊦ ⟪cache_readdir#(mkinode(m, md, boolvar, m0, m1, m2), dirs, files, asynced0; strings, err)⟫ true

User applied rule call right

And obtained the following new goals

Proof step 6:
asynced ↔ asynced0, 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 ∈ dirs, asynced1 → synced(files, icache, pcache) ⊦ ⟪if pre-readdir(inode.ino, dirs, files) then afs_readdir#(inode, dirs, files, asynced; strings, err) else abort⟫ true

Rule argument

pos: right 1

Additional information

Used simplifier rules: readdir: ⊦ ;