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Proof step 24 from proof writepage-afs-cons (previous step)

# buf2 = VFS_PAGE_SIZE, afs-cons(dirs, files), inode.ino ∈ files, ino0 + n ≤ # buf0, ino + n ≤ VFS_PAGE_SIZE ⊦ afs-cons(dirs, files[inode.ino, files[inode.ino].content:= files[inode.ino].content[pageno, copy(buf0, ino0, buf2, ino, n)]])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 25:
# buf2 = VFS_PAGE_SIZE, inode = mkinode(m, md, boolvar, m0, m1, m2), afs-cons(dirs, files), m ∈ files, ino + n ≤ VFS_PAGE_SIZE, ino0 + n ≤ # buf0 ⊦ afs-cons(dirs, files[m, files[m].content:= files[m].content[pageno, copy(buf0, ino0, buf2, ino, n)]])

Rule argument

spec: inode name: elim seq: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2) subst: [inode, m, md, boolvar, m0, m1, m2] → [inode, m, md, boolvar, m0, m1, m2]

Additional information

Used simplifier rules: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2); (elim) Used terms: inode, m, md, boolvar, m0, m1, m2