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Proof step 25 from proof refine-readdir (previous step)

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_dirs, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ ⟪fail#(; ; err)⟫ ⟨afs_readdir#(mkinode(m, md, boolvar, m0, m1, m2), cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache, cache_asynced; strings0, err0)⟩ (strings1 = strings0 ∧ err = err0)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 26:
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_dirs, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ ⟪choose err0 with ⌊err0⌋ in err := err0⟫ ⟨afs_readdir#(mkinode(m, md, boolvar, m0, m1, m2), cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache, cache_asynced; strings0, err0)⟩ (strings1 = strings0 ∧ err = err0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: fail#(; ; ERR){choose ERR0 with ⌊ERR0⌋ in ERR := ERR0};