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Proof step 81 from proof inv-fsync (previous step)

# links(m, dirs) = files0[m].nlink, files[m] = mkfile(m1, md1, files0[m].nlink, content0), err0 = ESUCCESS, inode = mkinode(m, md, false, files0[m].nlink, 0, m2), afs-cons(dirs, files0), afs-cons(dirs, files), dcache-cons(dcache, dirs, files0), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files0), icache-cons(icache, dirs, files), pcache-cons(pcache0, dirs, files0), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache0), synced(dirs, icache, pcache), m ∈ files0, m ∈ files ⊦ ⟪afs_fsync#(inode, asynced1, dirs, files0; ; asynced, err0)⟫ ( icache-cons(icache, dirs, files0) ∧ dcache-cons(dcache, dirs, files0) ∧ pcache-cons(pcache0, dirs, files0) ∧ synced(dirs, icache, pcache0) ∧ afs-cons(dirs, files0)), err0 = ESUCCESS ∧ ¬ asynced1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 82:
# links(m, dirs) = files0[m].nlink, files[m] = mkfile(m1, md1, files0[m].nlink, content0), afs-cons(dirs, files0), afs-cons(dirs, files), dcache-cons(dcache, dirs, files0), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files0), icache-cons(icache, dirs, files), pcache-cons(pcache0, dirs, files0), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache0), synced(dirs, icache, pcache), m ∈ files0, m ∈ files ⊦ ⟪afs_fsync#(mkinode(m, md, false, files0[m].nlink, 0, m2), true, dirs, files0; ; asynced, err0)⟫ true

Proof step 81 from proof inv-fsync (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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