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Proof step 3 from proof fsync-inode-others-unchanged (previous step)

asynced1 ↔ asynced, files = files0, icache = icache0, inode = inode0, icache-cons(icache0, dirs, files0) ⊦ [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)}}] (inode.ino = inode0.ino ∧ (∀ ino. ino ≠ inode.ino ∧ ino ∈ files0 → ino ∈ files ∧ (files ⊕ icache)[ino] = (files0 ⊕ icache0)[ino]))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
icache-cons(icache0, dirs, files0) ⊦ [let ino = inode0.ino, asynced0 = ?, asynced = ? in {icache_check_inode#(ino, icache0; asynced0, asynced, err); inode := inode0; icache := icache0; 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]))

Proof step 3 from proof fsync-inode-others-unchanged (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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