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Proof step 24 from proof refine-check-commit (previous step)

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), ⌊err2⌋ ∨ err2 = ESUCCESS ⊦ ∃ err1. (⌊err1⌋ ∨ err1 = ESUCCESS) ∧ ⟨err0 := err1; choose bv with true in asynced := bv⟩ ((asynced ↔ bv0) ∧ err2 = err0), ∃ bv. ⟨asynced := bv⟩ (asynced ↔ bv0)

User applied rule exists right

And obtained the following new goals

Proof step 25:
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), cache_sync → synced(cache_files, cache_icache, cache_pcache), ⌊err2⌋ ∨ err2 = ESUCCESS ⊦ ⟨asynced := bv0⟩ (asynced ↔ bv0), ∃ err1. (⌊err1⌋ ∨ err1 = ESUCCESS) ∧ ⟨err0 := err1; choose bv with true in asynced := bv⟩ ((asynced ↔ bv0) ∧ err2 = err0)

Rule argument

pos: right 2 terms: bv0 abort: F discard: T computed: F

Additional information

Used terms: bv0