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Proof step 2 from proof inv-sync (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), asynced → synced(files, icache, pcache) ⊦ ⟪cache_sync#(dirs, files; asynced0; err)⟫ true

User applied rule call right

And obtained the following new goals

Proof step 3:
asynced ↔ asynced0, afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), asynced1 → synced(files, icache, pcache) ⊦ ⟪afs_sync#(dirs, files; ; asynced, err)⟫ true

Rule argument

pos: right 1

Additional information

Used simplifier rules: sync: ⊦ ;