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

files0 = files, m = inode.size, pageno = inode.size / VFS_PAGE_SIZE, buf-opt.none?, inode.size < n, afs-cons(dirs, files) ⊦ [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 m) + (σ⊥ to (n - m)) ∧ 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 simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
buf-opt = none, files0 = files, m = inode.size, inode.size < n, afs-cons(dirs, files) ⊦ [afs_truncate#(n, inode.size / VFS_PAGE_SIZE; buf-opt, inode, bv, err, dirs, files, asynced)] (err = ESUCCESS ⊃ files[inode.ino].content.stream to files[inode.ino].size = (files0[inode.ino].content.stream to m) + (σ⊥ to (files[inode.ino].size - m)) ∧ 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

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ buf-opt.none? ↔ buf-opt = none; (s)