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Proof step 18 from proof inv-iget (previous step)

err = ESUCCESS, afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), ¬ ino ∈ icache, asynced2 → synced(files, icache, pcache), ino ∈ dirs ∨ ino ∈ files ⊦ ⟪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 19:
asynced ↔ asynced1, err = ESUCCESS, 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 pre-iget(ino, dirs, files) then {{inode := getinode(ino, dirs, files); err := ESUCCESS} or fail#(; ; err)} else abort; if err = ESUCCESS then icache_set#(inode, false; err, icache)⟫ (icache-cons(icache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced2 → synced(files, icache, pcache))), ino ∈ icache

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_iget#(INO, DIRS, FILES, ASYNCED; INODE, ERR) {if pre-iget(INO, DIRS, FILES) then { {INODE := getinode(INO, DIRS, FILES); ERR := ESUCCESS} or fail#(; ; ERR)} else abort };