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Proof step 26 from proof fsync-inode-others-unchanged (previous step)

asynced ↔ asynced0, icache0[m] = mkientry(true, inode0), asynced0, err = ESUCCESS, err0 = ESUCCESS, files = files0, icache = icache0, ino = m, inode = icache[ino].inode, inode1 = mkinode(m, md, boolvar, m0, m1, m2), icache-cons(icache0, dirs, files0), m ∈ icache0, ino ∈ icache ⊦ [afs_write_inode#(inode; err, dirs, files; asynced1); icache := icache0; if err = ESUCCESS then {asynced := false; icache_set_status#(m, asynced; err, icache)}] (inode.ino = m ∧ (∀ 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 27:
icache0[m] = mkientry(true, inode0), err = ESUCCESS, files = files0, icache-cons(icache0, dirs, files0), m ∈ icache0 ⊦ [afs_write_inode#(icache0[m].inode; err, dirs, files; asynced1); icache1 := icache0; if err = ESUCCESS then {asynced := false; icache_set_status#(m, asynced; err, icache1)}] ( icache0[m].inode.ino = m ∧ (∀ ino0. ino0 ≠ icache0[m].inode.ino ∧ ino0 ∈ files0 → ino0 ∈ files ∧ (files ⊕ icache1)[ino0] = (files0 ⊕ icache0)[ino0]))

Proof step 26 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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