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View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 74 from proof refine-readpage (previous step)

# buf0 = VFS_PAGE_SIZE, asynced ↔ asynced0, ¬ asynced0, buf = buf0, err = err0, ino = m, key = datakey(ino, pageno), pcache = cache_pcache, 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, key ∈ pcache, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ key ∈ pcache

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

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