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Proof step 71 from proof crash-neutral-unlink (previous step)

c_inode.ino = entries0[str], c_inode.nlink = 0, files[entries0[str]].nlink = 0, c_inode.nsubdirs = 0, dirs0[m] = mkdir(m1 + 1, md1, # links(m, dirs0), m2, entries0), afs-cons(dirs0, files), str ∈ entries0, entries0[str] ∈ files, m ∈ dirs0, ¬ c_inode.directory, links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟨fail#(; ; err); asynced := ?⟩ asynced

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 72:
files[entries0[str]].nlink = 0, dirs0[m] = mkdir(m1 + 1, md1, # links(m, dirs0), m2, entries0), ¬ boolvar, c_inode = mkinode(m0, md, boolvar, m3, m4, m5), m0 = entries0[str], m3 = 0, m4 = 0, afs-cons(dirs0, files), m ∈ dirs0, entries0[str] ∈ files, str ∈ entries0, links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟨fail#(; ; err); asynced := ?⟩ asynced

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] → [c_inode, m0, md, boolvar, m3, m4, m5]

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: c_inode, m0, md, boolvar, m3, m4, m5