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Proof step 147 from proof eq-io-truncate (previous step)

VFS_PAGE_SIZE = n2 + m2 % VFS_PAGE_SIZE, files2[m] = mkfile(m0, md0, m1, content0), dirs1[m] = mkdir(m3, md1, m4, m5, entries), dirs0 = dirs1, files = files2[m, mkfile(m0, md0, m1, content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n2)] upto m2)], m2 % VFS_PAGE_SIZE ≠ 0, m ∈ files2, m2 / VFS_PAGE_SIZE ∈ content0, m2 ≤ n0, VFS_PAGE_SIZE ≤ # content0[m2 / VFS_PAGE_SIZE], ¬ buf-opt.some? ⊦ ∃ err0. ⌊err0⌋ ∧ ⟨err := err0; asynced := ?⟩ ( buf-opt = some(fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n2)) ∧ mkinode(m, md, false, m1, 0, m2) = mkinode(m, md1, true, m4, m5, m3) ∧ boolvar0 ∧ err = ESUCCESS ∧ files2 = files2[m, mkfile(n0, md, m1, content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n2)] upto m2)]), ⟨afs_inode_sync#(mkinode(m, md, false, m1, 0, n0); dirs1, files); inode := (m ∈ dirs1 ⊃ mkinode(m, dirs1[m].meta, true, dirs1[m].nlink, dirs1[m].nsubdirs, dirs1[m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); err := ESUCCESS; asynced := ?⟩ ( inode = (m ∈ dirs0 ⊃ mkinode(m, dirs0[m].meta, true, dirs0[m].nlink, dirs0[m].nsubdirs, dirs0[m].size);mkinode(m, md, false, m1, 0, n0)) ∧ err = ESUCCESS ∧ dirs1 = dirs0 ∧ files = files2[m, mkfile(n0, md, m1, content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n2)] upto m2)])

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 148:
VFS_PAGE_SIZE = n2 + m2 % VFS_PAGE_SIZE, dirs1[m] = mkdir(m3, md1, m4, m5, entries), files2[m] = mkfile(m0, md0, m1, content0), dirs = dirs1, dirs0 = dirs1, files = files2[m, mkfile(m0, md0, m1, content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n2)] upto m2)], inode = mkinode(m, md, false, m1, 0, n0), m2 / VFS_PAGE_SIZE ∈ content0, m ∈ files2, VFS_PAGE_SIZE ≤ # content0[m2 / VFS_PAGE_SIZE], m2 ≤ n0 ⊦ ⟨let ino = inode.ino in if ino ∈ files then {files[ino].size := inode.size; files[ino].meta := inode.meta} else if ino ∈ dirs then dirs[ino].meta := inode.meta; inode := (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); err := ESUCCESS; asynced := ?⟩ ( inode = (m ∈ dirs0 ⊃ mkinode(m, dirs0[m].meta, true, dirs0[m].nlink, dirs0[m].nsubdirs, dirs0[m].size);mkinode(m, md, false, m1, 0, n0)) ∧ err = ESUCCESS ∧ dirs = dirs0 ∧ files = files2[m, mkfile(n0, md, m1, content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n2)] upto m2)]), ∃ err0. ⌊err0⌋ ∧ ⟨err := err0; asynced := ?⟩ ( buf-opt = some(fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n2)) ∧ mkinode(m, md, false, m1, 0, m2) = mkinode(m, md1, true, m4, m5, m3) ∧ boolvar0 ∧ err = ESUCCESS ∧ files2 = files2[m, mkfile(n0, md, m1, content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n2)] upto m2)]), m2 % VFS_PAGE_SIZE = 0, buf-opt.some?

Rule argument

pos: right 2

Additional information

Used simplifier rules: afs_inode_sync#(INODE; DIRS, FILES) {let INO = INODE.ino in if INO ∈ FILES then {FILES[INO].size := INODE.size; FILES[INO].meta := INODE.meta} else if INO ∈ DIRS then DIRS[INO].meta := INODE.meta };