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Proof step 166 from proof fsync-others-unchanged (previous step)

# links(m, dirs) = m3, files0[m] = mkfile(m0, md0, m3, content), files1[m] = mkfile(m1, md1, m3, content0), afs-cons(dirs, files1), afs-cons(dirs, files0), dcache-cons(dcache, dirs, files1), dcache-cons(dcache, dirs, files0), icache-cons(icache0, dirs, files1), icache-cons(icache0, dirs, files0), pcache-cons(pcache1, dirs, files1), pcache-cons(pcache0, dirs, files0), synced(dirs, icache0, pcache1), synced(dirs, icache0, pcache0), m ∈ files1, m ∈ files0, ∀ ino. ino ≠ m ∧ ino ∈ files0 → ino ∈ files1 ∧ mkfile(files1[ino].size, files1[ino].meta, files1[ino].nlink, files1[ino].content ⊕ mkcontent(ino, pcache1)) = mkfile(files0[ino].size, files0[ino].meta, files0[ino].nlink, files0[ino].content ⊕ mkcontent(ino, pcache0)) ⊦ [afs_fsync#(mkinode(m, md, false, m3, 0, m2), true, dirs, files1; ; asynced, err0)] ∀ ino. ino ≠ m ∧ ino ∈ files0 → ino ∈ files1 ∧ ((files1 ⊕ pcache1) ⊕ icache0)[ino] = ((files0 ⊕ pcache0) ⊕ icache0)[ino]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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