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Proof step 143 from proof refine-iget (previous step)

asynced ↔ cache_asynced, dirs = cache_dirs, err = ESUCCESS, files = cache_files, inode = inode0, 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), cache_sync → synced(cache_files, cache_icache, cache_pcache), ino ∈ cache_dirs ∨ ino ∈ cache_files ⊦ ⟪fail#(; ; err); afs_files := (cache_files ⊕ cache_pcache) ⊕ cache_icache; if err = ESUCCESS then icache_set#(inode, false; err, cache_icache)⟫ ⟨afs_iget#(ino, cache_dirs, afs_files, cache_asynced; inode0, err0)⟩ (afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache ∧ inode = inode0 ∧ err = err0), ino ∈ cache_icache

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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