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Proof step 86 from proof eq-io-truncate (previous step)

# buf-opt.buf = VFS_PAGE_SIZE, VFS_PAGE_SIZE = n2 + m2 % VFS_PAGE_SIZE, files0[m] = mkfile(m0, md0, m1, content0), dirs = dirs1, dirs0 = dirs1, files = files1, files1 = files0[m, mkfile(m0, md0, m1, content0[m2 / VFS_PAGE_SIZE, fill(buf-opt.buf, zero, m2 % VFS_PAGE_SIZE, n2)] upto m2)], ino = inode.ino, inode = mkinode(m, md, false, m1, 0, n0), buf-opt.some?, m ∈ files0, m2 ≤ n0 ⊦ ⟨asynced := ?⟩ ( (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) ) = (m ∈ dirs0 ⊃ mkinode(m, dirs0[m].meta, true, dirs0[m].nlink, dirs0[m].nsubdirs, dirs0[m].size);mkinode(m, md, false, m1, 0, n0)) ∧ ESUCCESS = ESUCCESS ∧ dirs = dirs0 ∧ files = files0[m, mkfile(n0, md, m1, content0[m2 / VFS_PAGE_SIZE, fill(buf-opt.buf, zero, m2 % VFS_PAGE_SIZE, n2)] upto m2)]), m2 % VFS_PAGE_SIZE = 0, ino ∈ dirs, ino ∈ files

Heuristic symbolic execution applied rule assign right

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)% ⊦ ino ∈ files[ino0, af] ↔ ino ∈ files; (s)