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Proof step 72 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 ⊦ ⟨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 = 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

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

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