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Proof step 89 from proof inv-fsync (previous step)

files1[m] = mkfile(m1, md1, # links(m, dirs), content0), files0[m] = mkfile(m2, md, # links(m, dirs), content1), afs-cons(dirs, files1), afs-cons(dirs, files0), dcache-cons(dcache, dirs, files1), dcache-cons(dcache, dirs, files0), icache-cons(icache, dirs, files1), icache-cons(icache, dirs, files0), pcache-cons(pcache, dirs, files1), pcache-cons(pcache0, dirs, files0), synced(dirs, icache, pcache), synced(dirs, icache, pcache0), m ∈ files1, m ∈ files0 ⊦ ⟪fail_or_success#(; ; err); choose bv with true in asynced := bv⟫ true

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 90:
files0[m] = mkfile(m2, md, # links(m, dirs), content1), files1[m] = mkfile(m1, md1, # links(m, dirs), content0), afs-cons(dirs, files0), afs-cons(dirs, files1), dcache-cons(dcache, dirs, files0), dcache-cons(dcache, dirs, files1), icache-cons(icache, dirs, files0), icache-cons(icache, dirs, files1), pcache-cons(pcache0, dirs, files0), pcache-cons(pcache, dirs, files1), synced(dirs, icache, pcache0), synced(dirs, icache, pcache), m ∈ files0, m ∈ files1 ⊦ ⟪choose err0 with ⌊err0⌋ ∨ err0 = ESUCCESS in err := err0; choose bv with true in asynced := bv⟫ true

Rule argument

pos: right 1

Additional information

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