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Proof step 70 from proof refine-writepage (previous step)

# buf = VFS_PAGE_SIZE, asynced ↔ true, afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, err = ESUCCESS, ino = m, key = datakey(ino, pageno), pcache = cache_pcache, pe = mkpentry(asynced, buf), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), afs-cons(cache_dirs, cache_files), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons(cache_icache, cache_dirs, cache_files), pcache-cons(cache_pcache, cache_dirs, cache_files), synced(cache_dirs, cache_icache, cache_pcache), m ∈ cache_files ⊦ ⟨afs_writepage#(mkinode(m, md, boolvar, m0, m1, m2), pageno, buf, cache_dirs; err0, afs_files; afs_asynced)⟩ (afs_files = (cache_files ⊕ pcache[key, pe]) ⊕ cache_icache ∧ (afs_asynced ↔ asynced0) ∧ err = err0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 71:
# buf = VFS_PAGE_SIZE, afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, afs-cons(cache_dirs, cache_files), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons(cache_icache, cache_dirs, cache_files), pcache-cons(cache_pcache, cache_dirs, cache_files), synced(cache_dirs, cache_icache, cache_pcache), m ∈ cache_files ⊦ ⟨afs_writepage#(mkinode(m, md, boolvar, m0, m1, m2), pageno, buf, cache_dirs; err0, afs_files; afs_asynced)⟩ (afs_files = (cache_files ⊕ cache_pcache[datakey(m, pageno), mkpentry(true, buf)]) ⊕ cache_icache ∧ (afs_asynced ↔ asynced0) ∧ ESUCCESS = err0)

Proof step 70 from proof refine-writepage (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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