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Proof step 84 from proof inv-fsync (previous step)

files0[m] = mkfile(m0, md0, # links(m, dirs), content), files[m] = mkfile(m1, md1, # links(m, dirs), content0), afs-cons(dirs, files0), afs-cons(dirs, files), dcache-cons(dcache, dirs, files0), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files0), icache-cons(icache, dirs, files), pcache-cons(pcache0, dirs, files0), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache0), synced(dirs, icache, pcache), m ∈ files0, m ∈ files ⊦ ⟪afs_fsync#(mkinode(m, md, false, # links(m, dirs), 0, m2), true, dirs, files0; ; asynced, err0)⟫ true

User applied rule call right

And obtained the following new goals

Proof step 85:
asynced0 ↔ true, files1[m] = mkfile(m1, md1, # links(m, dirs), content0), files0[m] = mkfile(m0, md0, # links(m, dirs), content), files = files0, inode = mkinode(m, md, false, # links(m, dirs), 0, m2), 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 ⊦ ⟪if valid-file-inode(inode, dirs, files) then {fail_or_success#(; ; err); choose bv with true in asynced := bv} else abort⟫ true

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_fsync#(INODE, ISDATASYNC, DIRS, FILES; ; ASYNCED, ERR) {if valid-file-inode(INODE, DIRS, FILES) then {fail_or_success#(; ; ERR); choose bv with true in ASYNCED := bv} else abort };