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Proof step 14 from proof fsync-inode-others-unchanged (previous step)

asynced0 ↔ true, asynced ↔ icache1[ino0].dirty, asynced, asynced0, err = ESUCCESS, icache = icache0, icache1 = icache0, ino = inode0.ino, ino0 = inode0.ino, inode = inode0, icache-cons(icache0, dirs, files0), ino0 ∈ icache1 ⊦ [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 simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
asynced0, err = ESUCCESS, inode = inode0, icache0[inode0.ino].dirty, icache-cons(icache0, dirs, files0), inode0.ino ∈ icache0 ⊦ [icache_get#(inode0.ino, icache0; asynced0, inode, err); files := files0; if err = ESUCCESS ∧ asynced0 then afs_write_inode#(inode; err, dirs, files; asynced1); icache := icache0; if err = ESUCCESS then {asynced := false; icache_set_status#(inode0.ino, asynced; err, icache)}] (inode.ino = inode0.ino ∧ (∀ ino. ino ≠ inode.ino ∧ ino ∈ files0 → ino ∈ files ∧ (files ⊕ icache)[ino] = (files0 ⊕ icache0)[ino]))

Proof step 14 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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