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Proof step 543 from proof refine-readpage (previous step)

# buf0 = VFS_PAGE_SIZE, ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m0, md, m1, content), 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_files, ⌊err0⌋ , cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ ⟨fail#(; ; err)⟩ (err0 = err), ⟨if pageno ∈ content then buf := content[pageno] else buf := zeropage; err := ESUCCESS⟩ (buf0 = buf ∧ err0 = err), datakey(m, pageno) ∈ cache_pcache

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 544:
# buf0 = VFS_PAGE_SIZE, ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m0, md, m1, content), 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, ⌊err0⌋ , ¬ datakey(m, pageno) ∈ cache_pcache, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ ⟨fail#(; ; err)⟩ (err0 = err), ⟨if pageno ∈ content then buf := content[pageno] else buf := zeropage; err := ESUCCESS⟩ (buf0 = buf ∧ err0 = err)

Proof step 543 from proof refine-readpage (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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