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Proof step 16 from proof fsync-inode-keep-abs (previous step)

icache[m] = mkientry(true, inode0), asynced0, err = ESUCCESS, inode = mkinode(m, md, boolvar, m0, m1, m2), icache-cons(icache, dirs, files), m ∈ icache ⊦ [icache_get#(m, icache; asynced0, inode, err); files0 := (files ⊕ pcache) ⊕ icache; if err = ESUCCESS ∧ asynced0 then afs_write_inode#(inode; err, dirs, files; asynced1); if err = ESUCCESS then {asynced := false; icache_set_status#(m, asynced; err, icache)}] (files0 = (files ⊕ pcache) ⊕ icache)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 17:
asynced ↔ asynced0, icache[m] = mkientry(true, inode0), asynced0, err = ESUCCESS, ino = m, inode = mkinode(m, md, boolvar, m0, m1, m2), icache-cons(icache, dirs, files), m ∈ icache ⊦ [if ino ∈ icache then {inode := icache[ino].inode; asynced := true} else asynced := false; err := ESUCCESS; files0 := (files ⊕ pcache) ⊕ icache; if err = ESUCCESS ∧ asynced then afs_write_inode#(inode; err, dirs, files; asynced1); if err = ESUCCESS then {asynced := false; icache_set_status#(m, asynced; err, icache)}] (files0 = (files ⊕ pcache) ⊕ icache)

Rule argument

pos: right 1

Additional information

Used simplifier rules: icache_get#(INO, ICACHE; HIT, INODE, ERR) {if INO ∈ ICACHE then {INODE := ICACHE[INO].inode; HIT := true} else HIT := false; ERR := ESUCCESS };