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Proof step 15 from proof eq-io-evict (previous step)

⟨afs_evict#(mkinode(m, md, boolvar, m0, m1, m2), asynced0; err, dirs1, files1)⟩ (err = err0 ∧ dirs1 = dirs0 ∧ files1 = files0), dirs1[m].nlink = 0, files1[m] = mkfile(m3, md0, m4, content), m ≠ ROOT_INO, m ∈ dirs1, m0 = 0 ∧ m2 = dirs1[m].size ∧ m1 = dirs1[m].nsubdirs ∧ boolvar ∨ m ∈ files1 ∧ m0 = m4 ∧ m1 = 0 ∧ ¬ boolvar ⊦ ESUCCESS = err0 ∧ dirs1 -- m = dirs0 ∧ files1 = files0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 16:
⟨afs_evict#(mkinode(m, md, boolvar, m0, m1, m2), asynced0; err, dirs1, files1)⟩ (err = err0 ∧ dirs1 = dirs0 ∧ files1 = files0), files1[m] = mkfile(m3, md0, m4, content), dirs1[m] = mkdir(m5, md1, m6, m7, entries), m6 = 0, m ∈ dirs1, m0 = 0 ∧ m2 = m5 ∧ m1 = m7 ∧ boolvar ∨ m ∈ files1 ∧ m0 = m4 ∧ m1 = 0 ∧ ¬ boolvar ⊦ m = ROOT_INO, ESUCCESS = err0 ∧ dirs1 -- m = dirs0 ∧ files1 = files0

Rule argument

spec: abstract-dir name: elim seq: ⊦ ( ((m = ad.size ∧ md = ad.meta) ∧ m0 = ad.nlink) ∧ m1 = ad.nsubdirs) ∧ entries = ad.entries ↔ ad = mkdir(m, md, m0, m1, entries) subst: [ad, m, md, m0, m1, entries] → [dirs1[m], m5, md1, m6, m7, entries]

Additional information

Used simplifier rules: ⊦ ( ((m = ad.size ∧ md = ad.meta) ∧ m0 = ad.nlink) ∧ m1 = ad.nsubdirs) ∧ entries = ad.entries ↔ ad = mkdir(m, md, m0, m1, entries); (elim) Used terms: dirs1[m], m5, md1, m6, m7, entries