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Proof step 6 from proof fsync-inode-others-unchanged (previous step)

icache-cons(icache0, dirs, files0) ⊦ [icache_check_inode#(inode0.ino, icache0; asynced0, asynced, err); inode := inode0; icache := icache0; ino := inode0.ino; if err = ESUCCESS ∧ asynced0 ∧ asynced then icache_get#(ino, icache; asynced0, inode, err); files := files0; 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)}] (inode.ino = inode0.ino ∧ (∀ ino. ino ≠ inode.ino ∧ ino ∈ files0 → ino ∈ files ∧ (files ⊕ icache)[ino] = (files0 ⊕ icache0)[ino]))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 7:
icache = icache0, ino = inode0.ino, icache-cons(icache0, dirs, files0) ⊦ [if ino ∈ icache then {asynced0 := true; asynced := icache[ino].dirty} else asynced0 := false; inode := inode0; icache := icache0; ino := inode0.ino; if err = ESUCCESS ∧ asynced0 ∧ asynced then icache_get#(ino, icache; asynced0, inode, err); files := files0; 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)}] (inode.ino = inode0.ino ∧ (∀ ino. ino ≠ inode.ino ∧ ino ∈ files0 → ino ∈ files ∧ (files ⊕ icache)[ino] = (files0 ⊕ icache0)[ino]))

Rule argument

pos: right 1

Additional information

Used simplifier rules: icache_check_inode#(INO, ICACHE; HIT, DIRTY, ERR) {if INO ∈ ICACHE then {HIT := true; DIRTY := ICACHE[INO].dirty} else HIT := false };