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Proof step 31 from proof fsync-inode-others-unchanged (previous step)

icache0[m] = mkientry(true, mkinode(m0, md, boolvar, m1, m2, m3)), err = ESUCCESS, files = files0, icache-cons(icache0, dirs, files0), m ∈ icache0 ⊦ [afs_write_inode#(mkinode(m0, md, boolvar, m1, m2, m3); err, dirs, files; asynced1); icache1 := icache0; if err = ESUCCESS then {asynced := false; icache_set_status#(m, asynced; err, icache1)}] (m0 = m ∧ (∀ ino0. ino0 ≠ m ∧ ino0 ∈ files0 → ino0 ∈ files ∧ (files ⊕ icache1)[ino0] = (files0 ⊕ icache0)[ino0]))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 32:
icache0[m] = mkientry(true, mkinode(m0, md, boolvar, m1, m2, m3)), err = ESUCCESS, files = files0, inode = mkinode(m0, md, boolvar, m1, m2, m3), icache-cons(icache0, dirs, files0), m ∈ icache0 ⊦ [if pre-write-inode(inode, dirs, files) then { {if inode.directory then dirs[inode.ino].meta := inode.meta else {files[inode.ino].meta := inode.meta; files[inode.ino].size := inode.size}; err := ESUCCESS} or fail#(; ; err); asynced := ?} else abort; icache1 := icache0; if err = ESUCCESS then {asynced := false; icache_set_status#(m, asynced; err, icache1)}] (m0 = m ∧ (∀ ino0. ino0 ≠ m ∧ ino0 ∈ files0 → ino0 ∈ files ∧ (files ⊕ icache1)[ino0] = (files0 ⊕ icache0)[ino0]))

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_write_inode#(INODE; ERR, DIRS, FILES; ASYNCED) {if pre-write-inode(INODE, DIRS, FILES) then { {if INODE.directory then DIRS[INODE.ino].meta := INODE.meta else {FILES[INODE.ino].meta := INODE.meta; FILES[INODE.ino].size := INODE.size}; ERR := ESUCCESS} or fail#(; ; ERR); ASYNCED := ?} else abort };