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Proof step 42 from proof inv-fsync (previous step)

files1[m0] = mkfile(m4, md, # links(m0, dirs0), content2), files0[m] = mkfile(m3, md2, # links(m, dirs1), content1), files2[m] = mkfile(m1, md1, # links(m, dirs1), content0), afs-cons(dirs0, files1), afs-cons(dirs1, files0), afs-cons(dirs1, files2), dcache-cons(dcache, dirs0, files1), dcache-cons(dcache, dirs1, files0), dcache-cons(dcache, dirs1, files2), icache-cons(icache0, dirs0, files1), icache-cons(icache, dirs1, files0), icache-cons(icache, dirs1, files2), pcache-cons(pcache0, dirs0, files1), pcache-cons(pcache0, dirs1, files0), pcache-cons(pcache, dirs1, files2), synced(dirs0, icache0, pcache0), synced(dirs1, icache, pcache0), synced(dirs1, icache, pcache), m0 ∈ files1, m ∈ files2, 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 43:
files2[m] = mkfile(m1, md1, # links(m, dirs1), content0), files0[m] = mkfile(m3, md2, # links(m, dirs1), content1), files1[m0] = mkfile(m4, md, # links(m0, dirs0), content2), afs-cons(dirs1, files2), afs-cons(dirs1, files0), afs-cons(dirs0, files1), dcache-cons(dcache, dirs1, files2), dcache-cons(dcache, dirs1, files0), dcache-cons(dcache, dirs0, files1), icache-cons(icache, dirs1, files2), icache-cons(icache, dirs1, files0), icache-cons(icache0, dirs0, files1), pcache-cons(pcache, dirs1, files2), pcache-cons(pcache0, dirs1, files0), pcache-cons(pcache0, dirs0, files1), synced(dirs1, icache, pcache), synced(dirs1, icache, pcache0), synced(dirs0, icache0, pcache0), m ∈ files0, m ∈ files2, m0 ∈ 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};