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Proof step 78 from proof fsync-dirs (previous step)

icache[m] = mkientry(true, mkinode(m3, md, true, m5, m6, m4)), files0[m] = mkfile(m0, md0, m1, content), dirs0[m3] = mkdir(m4, md1, m5, m6, entries), m3 ∈ dirs0, m ∈ files0, m ∈ icache, m2 ≤ n * VFS_PAGE_SIZE ⊦ [afs_fsync#(mkinode(m3, md, true, m5, m6, m4), false, dirs0[m3, mkdir(m4, md, m5, m6, entries)], files; ; asynced2, err)] (dirs0[m3, mkdir(m4, md, m5, m6, entries)] = dirs0)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 79:
asynced0 ↔ false, dirs0[m3] = mkdir(m4, md1, m5, m6, entries), files0[m] = mkfile(m0, md0, m1, content), icache[m] = mkientry(true, mkinode(m3, md, true, m5, m6, m4)), dirs = dirs0[m3, mkdir(m4, md, m5, m6, entries)], inode = mkinode(m3, md, true, m5, m6, m4), m ∈ icache, m ∈ files0, m3 ∈ dirs0, m2 ≤ n * VFS_PAGE_SIZE ⊦ [if valid-file-inode(inode, dirs, files) then {fail_or_success#(; ; err); choose bv with true in asynced := bv} else abort] (dirs0[m3, mkdir(m4, md, m5, m6, entries)] = dirs0)

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 };