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Proof step 18 from proof inv-lookup (previous step)

¬ asynced, err = ESUCCESS, key = dentrykey(p_ino, name), name = dent.name, name0 = dent.name, afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), p_ino ∈ dirs, asynced1 → synced(files, icache, pcache), links(p_ino, dirs) ≠ ∅ ∨ p_ino = ROOT_INO ⊦ ⟪afs_lookup#(p_ino, dirs, files, asynced0; dent, err); if err = ESUCCESS then dcache_set#(p_ino, name0, dent; err, dcache)⟫ dcache-cons(dcache, dirs, files), key ∈ dcache

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
err = ESUCCESS, name = dent.name, afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), p_ino ∈ dirs, ¬ dentrykey(p_ino, dent.name) ∈ dcache, asynced1 → synced(files, icache, pcache), links(p_ino, dirs) ≠ ∅ ∨ p_ino = ROOT_INO ⊦ ⟪afs_lookup#(p_ino, dirs, files, asynced0; dent, err); if err = ESUCCESS then dcache_set#(p_ino, name, dent; err, dcache)⟫ dcache-cons(dcache, dirs, files)

Proof step 18 from proof inv-lookup (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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