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Proof step 49 from proof fsync-pages-keep-abs (previous step)

# buf = VFS_PAGE_SIZE, files0[m] = mkfile(m0, md, m1, content), pcache[datakey(m, n)] = mkpentry(true, buf), err = ESUCCESS, files = files0[m, mkfile(m0, md, m1, content[n, buf])], (files0 ⊕ pcache) ⊕ icache = (files1 ⊕ pcache0) ⊕ icache, n * VFS_PAGE_SIZE < m2, pcache-cons(pcache0, dirs, files1), datakey(m, n) ∈ pcache, m ∈ files0 ⊦ [fail_or_success#(; ; err); choose bv with true in asynced := bv; if err = ESUCCESS then {asynced := false; pcache_set_status#(m, n, asynced; err, pcache)}; n0 := n + 1] ((files1 ⊕ pcache0) ⊕ icache = (files0[m, files0[m].content:= content[n, buf]] ⊕ pcache) ⊕ icache)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 50:
# buf = VFS_PAGE_SIZE, files0[m] = mkfile(m0, md, m1, content), pcache[datakey(m, n)] = mkpentry(true, buf), (files0 ⊕ pcache) ⊕ icache = (files1 ⊕ pcache0) ⊕ icache, n * VFS_PAGE_SIZE < m2, pcache-cons(pcache0, dirs, files1), datakey(m, n) ∈ pcache, m ∈ files0 ⊦ [fail_or_success#(; ; err); choose bv with true in asynced := bv; if err = ESUCCESS then {asynced := false; pcache_set_status#(m, n, asynced; err, pcache)}; n0 := n + 1] ((files1 ⊕ pcache0) ⊕ icache = (files0[m, mkfile(m0, md, m1, content[n, buf])] ⊕ pcache) ⊕ icache)

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content).content:= content0 = mkfile(m, md, m0, content0); (s)