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Proof step 2 from proof readpage-prepost (previous step)

((inode.ino =>mkfile(n0, md, m, σ) * F))(files), afs-cons(dirs, files) ⊦ [afs_readpage#(inode, n, dirs, files, asynced; buf, err)] (err = ESUCCESS ∧ ⌜buf⌝ = (σ from n * VFS_PAGE_SIZE) to VFS_PAGE_SIZE ∨ ⌊err⌋ )

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 3:
inode = mkinode(m0, md0, boolvar, m1, m2, m3), ((m0 =>mkfile(n0, md, m, σ) * F))(files), afs-cons(dirs, files) ⊦ [afs_readpage#(inode, n, dirs, files, asynced; buf, err)] (err = ESUCCESS ∧ ⌜buf⌝ = (σ from n * VFS_PAGE_SIZE) to VFS_PAGE_SIZE ∨ ⌊err⌋ )

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, m0, md0, boolvar, 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, m0, md0, boolvar, m1, m2