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Proof step 35 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, ⌊err0⌋ , cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ ∃ strings. ⟨strings0 := strings; fail#(; ; err)⟩ (strings1 = strings0 ∧ err0 = err)

User applied rule exists right

And obtained the following new goals

Proof step 36:
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, ⌊err0⌋ , cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ ⟨strings0 := strings1; fail#(; ; err)⟩ (strings1 = strings0 ∧ err0 = err), ∃ strings. ⟨strings0 := strings; fail#(; ; err)⟩ (strings1 = strings0 ∧ err0 = err)

Rule argument

pos: right 1 terms: strings1 abort: F discard: F computed: T

Additional information

Used terms: strings1