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Proof step 50 from proof inv-lookup (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), p_ino ∈ dirs, ¬ dentrykey(p_ino, dent.name) ∈ dcache, asynced1 → synced(files, icache, pcache), links(p_ino, dirs) ≠ ∅ ∨ p_ino = ROOT_INO ⊦ ⟪fail#(; ; err); if err = ESUCCESS then dcache_set#(p_ino, dent.name, dent; err, dcache)⟫ dcache-cons(dcache, dirs, files)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 51:
afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), p_ino ∈ dirs, asynced1 → synced(files, icache, pcache), links(p_ino, dirs) ≠ ∅ ∨ p_ino = ROOT_INO ⊦ ⟪choose err0 with ⌊err0⌋ in err := err0; if err = ESUCCESS then dcache_set#(p_ino, dent.name, dent; err, dcache)⟫ dcache-cons(dcache, dirs, files), dentrykey(p_ino, dent.name) ∈ dcache

Rule argument

pos: right 1

Additional information

Used simplifier rules: fail#(; ; ERR){choose ERR0 with ⌊ERR0⌋ in ERR := ERR0};