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Proof step 70 from proof crash-neutral-unlink (previous step)

c_inode.ino = entries0[str], c_inode.nlink = files[entries0[str]].nlink, c_inode.nsubdirs = 0, dirs0[m] = mkdir(m1 + 1, md1, # links(m, dirs0), m2, entries0), dirs = dirs0[m, mkdir(m1, md1, # links(m, dirs0), m2, entries0 -- str)], files0 = files, ino = entries0[str], afs-cons(dirs0, files), m ∈ dirs0, entries0[str] ∈ files, str ∈ entries0, links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟨fail#(; ; err); asynced := ?⟩ asynced, c_inode.directory, files[ino].nlink ≥ 1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 71:
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

Rule argument

Additional information

Used simplifier rules: ⊦ m < 1 ↔ m = 0; (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ n ≥ m ↔ m ≤ n; (s)