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Proof step 115 from proof eq-io-truncate (previous step)

VFS_PAGE_SIZE = n1 + m2 % VFS_PAGE_SIZE, files2[m] = mkfile(m3, md1, m4, content), files2[m, mkfile(n0, md, m4, content[m2 / VFS_PAGE_SIZE, fill(content[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n1)] upto m2)] = files0, dirs0 = dirs1, inode0 = mkinode(m, md, false, m4, 0, m2), m2 % VFS_PAGE_SIZE ≠ 0, m2 / VFS_PAGE_SIZE ∈ content, m ∈ files2, m2 ≤ n0, VFS_PAGE_SIZE ≤ # content[m2 / VFS_PAGE_SIZE], ¬ buf-opt.some? ⊦ ⟨afs_truncate#(n0, m2 / VFS_PAGE_SIZE; buf-opt, inode0, boolvar1, err, dirs1, files2, boolvar2)⟩ ( buf-opt = some(fill(content[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n1)) ∧ inode0 = (m ∈ dirs0 ⊃ mkinode(m, dirs0[m].meta, true, dirs0[m].nlink, dirs0[m].nsubdirs, dirs0[m].size) ;mkinode(m, files0[m].meta, false, files0[m].nlink, 0, files0[m].size) ) ∧ boolvar1 ∧ err = ESUCCESS ∧ dirs1 = dirs0 ∧ files2 = files0)

User applied rule call right

And obtained the following new goals

Proof step 116:
boolvar ↔ boolvar1, asynced ↔ boolvar2, VFS_PAGE_SIZE = n1 + m2 % VFS_PAGE_SIZE, files2[m, mkfile(n0, md, m4, content[m2 / VFS_PAGE_SIZE, fill(content[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n1)] upto m2)] = files0, files2[m] = mkfile(m3, md1, m4, content), dirs = dirs1, dirs0 = dirs1, files = files2, inode = inode0, inode0 = mkinode(m, md, false, m4, 0, m2), n = n0, pageno1 = m2 / VFS_PAGE_SIZE, m ∈ files2, m2 / VFS_PAGE_SIZE ∈ content, VFS_PAGE_SIZE ≤ # content[m2 / VFS_PAGE_SIZE], m2 ≤ n0 ⊦ ⟨if pre-truncate(inode, n, pageno1, buf-opt, dirs, files) then let pageno0 = 0, pageno = 0 in afs_truncate_internal#(n, pageno1; inode, buf-opt, pageno0, pageno, boolvar, err, dirs, files; asynced) else abort⟩ ( buf-opt = some(fill(content[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n1)) ∧ inode = (m ∈ dirs0 ⊃ mkinode(m, dirs0[m].meta, true, dirs0[m].nlink, dirs0[m].nsubdirs, dirs0[m].size) ;mkinode(m, files0[m].meta, false, files0[m].nlink, 0, files0[m].size) ) ∧ boolvar ∧ err = ESUCCESS ∧ dirs = dirs0 ∧ files = files0), m2 % VFS_PAGE_SIZE = 0, VFS_PAGE_SIZE = 0, buf-opt.some?

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_truncate# (N, PAGENO; PBUF-OPT, INODE, MODIFIED, ERR, DIRS, FILES, ASYNCED) {if pre-truncate(INODE, N, PAGENO, PBUF-OPT, DIRS, FILES) then let OFFSET = 0, SIZE = 0 in afs_truncate_internal# (N, PAGENO ; INODE, PBUF-OPT, OFFSET, SIZE, MODIFIED, ERR, DIRS, FILES ; ASYNCED) else abort };% ⊦ VFS_PAGE_SIZE ≠ 0; (s)