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Proof step 28 from proof fsync-err (previous step)

inode.nlink = files[inode.ino].nlink, inode.nsubdirs = 0, files1[m] = mkfile(m0, md0, m1, content), m ∈ files1, inode.ino ∈ files, ¬ inode.directory ⊦ [fail_or_success#(; ; err); choose bv with true in asynced := bv] (err = ESUCCESS ∨ ⌊err⌋ )

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 29:
files1[m] = mkfile(m0, md0, m1, content), ¬ boolvar, inode = mkinode(m2, md, boolvar, m3, m4, m5), m3 = files[m2].nlink, m4 = 0, m2 ∈ files, m ∈ files1 ⊦ [fail_or_success#(; ; err); choose bv with true in asynced := bv] (err = ESUCCESS ∨ ⌊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, m2] → [inode, m2, 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: inode, m2, md, boolvar, m3, m4, m5