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Proof step 1 from proof fsync-inode-keep-abs (conclusion)

files0 = (files ⊕ pcache) ⊕ icache, icache-cons(icache, dirs, files) ⊦ [cache_fsync-inode#(; inode, err, dirs, files, icache, asynced)] (files0 = (files ⊕ pcache) ⊕ icache)

User applied rule call right

And obtained the following new goals

Proof step 2:
asynced1 ↔ asynced, files0 = (files ⊕ pcache) ⊕ icache, icache-cons(icache, dirs, files) ⊦ [let ino = inode.ino, asynced0 = ?, asynced = ? in {icache_check_inode#(ino, icache; asynced0, asynced, err); if err = ESUCCESS ∧ asynced0 ∧ asynced then icache_get#(ino, icache; asynced0, inode, err); if err = ESUCCESS ∧ asynced0 ∧ asynced then afs_write_inode#(inode; err, dirs, files; asynced1); if err = ESUCCESS then {asynced := false; icache_set_status#(ino, asynced; err, icache)}}] (files0 = (files ⊕ pcache) ⊕ icache)

Rule argument

pos: right 1

Additional information

Used simplifier rules: cache_fsync-inode#(; INODE, ERR, DIRS, FILES, ICACHE, ASYNCED) {let INO = INODE.ino, HIT = ?, DIRTY = ? in {icache_check_inode#(INO, ICACHE; HIT, DIRTY, ERR); if ERR = ESUCCESS ∧ HIT ∧ DIRTY then icache_get#(INO, ICACHE; HIT, INODE, ERR); if ERR = ESUCCESS ∧ HIT ∧ DIRTY then afs_write_inode#(INODE; ERR, DIRS, FILES; ASYNCED); if ERR = ESUCCESS then {DIRTY := false; icache_set_status#(INO, DIRTY; ERR, ICACHE)}} };