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Proof step 2 from proof truncate-smaller (previous step)

files0 = files, pageno = inode.size / VFS_PAGE_SIZE, buf-opt.none?, afs-cons(dirs, files), n ≤ inode.size ⊦ [afs_truncate#(n, pageno; buf-opt, inode, bv, err, dirs, files, asynced)] (err = ESUCCESS ⊃ files[inode.ino].content.stream to n = files0[inode.ino].content.stream to n ∧ inode.ino ∈ files ∧ n = files[inode.ino].size ∧ files0[inode.ino].nlink = files[inode.ino].nlink ∧ files0 -- inode.ino = files -- inode.ino ;⌊err⌋ ∧ files0 = files )

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 3:
files0 = files, inode = mkinode(m, md, boolvar, m0, m1, m2), pageno = m2 / VFS_PAGE_SIZE, buf-opt.none?, afs-cons(dirs, files), n ≤ m2 ⊦ [afs_truncate#(n, pageno; buf-opt, inode, bv, err, dirs, files, asynced)] (err = ESUCCESS ⊃ files[inode.ino].content.stream to n = files0[inode.ino].content.stream to n ∧ inode.ino ∈ files ∧ n = files[inode.ino].size ∧ files0[inode.ino].nlink = files[inode.ino].nlink ∧ files0 -- inode.ino = files -- inode.ino ;⌊err⌋ ∧ files0 = files )

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] → [inode, m, md, boolvar, m0, m1]

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