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Proof step 44 from proof fsync-pages-others-unchanged (previous step)

# buf0 = VFS_PAGE_SIZE, pcache[datakey(m, n)] = mkpentry(true, buf0), files1[m] = mkfile(m0, md, m1, content), err = ESUCCESS, n * VFS_PAGE_SIZE < m2, datakey(m, n) ∈ pcache, m ∈ files1, ∀ ino. ino ≠ m ∧ ino ∈ files0 → mkfile(files1[ino].size, files1[ino].meta, files1[ino].nlink, files1[ino].content ⊕ mkcontent(ino, pcache)) = mkfile(files0[ino].size, files0[ino].meta, files0[ino].nlink, files0[ino].content ⊕ mkcontent(ino, pcache0)) ∧ ino ∈ files1 ⊦ [afs_check_commit#(dirs, files1[m, mkfile(m0, md, m1, content[n, pcache[datakey(m, n)].page])]; err; asynced1); buf := pcache[datakey(m, n)].page; if err = ESUCCESS then {asynced := false; pcache_set_status#(m, n, asynced; err, pcache)}; n0 := n + 1] ∀ ino. ino ≠ m ∧ ino ∈ files0 → mkfile(files1[ino].size, files1[ino].meta, files1[ino].nlink, files1[ino].content ⊕ mkcontent(ino, pcache)) = mkfile(files0[ino].size, files0[ino].meta, files0[ino].nlink, files0[ino].content ⊕ mkcontent(ino, pcache0)) ∧ ino ∈ files1

User applied rule call right

And obtained the following new goals

Proof step 45:
# buf0 = VFS_PAGE_SIZE, files1[m] = mkfile(m0, md, m1, content), pcache[datakey(m, n)] = mkpentry(true, buf0), err = ESUCCESS, files = files1[m, mkfile(m0, md, m1, content[n, pcache[datakey(m, n)].page])], n * VFS_PAGE_SIZE < m2, m ∈ files1, datakey(m, n) ∈ pcache, ∀ ino. ino ≠ m ∧ ino ∈ files0 → mkfile(files1[ino].size, files1[ino].meta, files1[ino].nlink, files1[ino].content ⊕ mkcontent(ino, pcache)) = mkfile(files0[ino].size, files0[ino].meta, files0[ino].nlink, files0[ino].content ⊕ mkcontent(ino, pcache0)) ∧ ino ∈ files1 ⊦ [fail_or_success#(; ; err); choose bv with true in asynced := bv; buf := pcache[datakey(m, n)].page; if err = ESUCCESS then {asynced := false; pcache_set_status#(m, n, asynced; err, pcache)}; n0 := n + 1] ∀ ino. ino ≠ m ∧ ino ∈ files0 → mkfile(files1[ino].size, files1[ino].meta, files1[ino].nlink, files1[ino].content ⊕ mkcontent(ino, pcache)) = mkfile(files0[ino].size, files0[ino].meta, files0[ino].nlink, files0[ino].content ⊕ mkcontent(ino, pcache0)) ∧ ino ∈ files1

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_check_commit#(DIRS, FILES; ERR; ASYNCED) {fail_or_success#(; ; ERR); choose bv with true in ASYNCED := bv};