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Proof step 7 from proof inv-iget (previous step)

¬ asynced0, afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), asynced2 → synced(files, icache, pcache), ino ∈ dirs ∨ ino ∈ files ⊦ ⟪icache_get#(ino, icache; asynced0, inode, err); if ¬ asynced0 ∨ err ≠ ESUCCESS then {afs_iget#(ino, dirs, files, asynced1; inode, err); if err = ESUCCESS then icache_set#(inode, false; err, icache)}⟫ (icache-cons(icache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced2 → synced(files, icache, pcache)))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 8:
asynced ↔ asynced0, ¬ asynced0, afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), asynced2 → synced(files, icache, pcache), ino ∈ dirs ∨ ino ∈ files ⊦ ⟪if ino ∈ icache then {inode := icache[ino].inode; asynced := true} else asynced := false; err := ESUCCESS; if ¬ asynced ∨ err ≠ ESUCCESS then {afs_iget#(ino, dirs, files, asynced1; inode, err); if err = ESUCCESS then icache_set#(inode, false; err, icache)}⟫ (icache-cons(icache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced2 → synced(files, icache, pcache)))

Rule argument

pos: right 1

Additional information

Used simplifier rules: icache_get#(INO, ICACHE; HIT, INODE, ERR) {if INO ∈ ICACHE then {INODE := ICACHE[INO].inode; HIT := true} else HIT := false; ERR := ESUCCESS };