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Proof step 90 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) ⊦ (m ∈ dirs1 ∧ m0 = dirs1[m].nlink ∧ m2 = dirs1[m].size ∧ m1 = dirs1[m].nsubdirs ∧ boolvar ∨ m ∈ files1 ∧ m0 = files1[m].nlink ∧ m1 = 0 ∧ ¬ boolvar) ∧ m ≠ ROOT_INO

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 91:
⟨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) ⊦ (m ∈ dirs1 ∧ m0 = dirs1[m].nlink ∧ m2 = dirs1[m].size ∧ m1 = dirs1[m].nsubdirs ∧ boolvar ∨ m ∈ files1 ∧ m0 = m4 ∧ m1 = 0 ∧ ¬ boolvar) ∧ m ≠ ROOT_INO

Rule argument

spec: abstract-file name: elim seq: ⊦ ((m = af.size ∧ md = af.meta) ∧ m0 = af.nlink) ∧ content = af.content ↔ af = mkfile(m, md, m0, content) subst: [af, m, md, m0, content] → [files1[m], m3, md0, m4, content]

Additional information

Used simplifier rules: ⊦ ((m = af.size ∧ md = af.meta) ∧ m0 = af.nlink) ∧ content = af.content ↔ af = mkfile(m, md, m0, content); (elim) Used terms: files1[m], m3, md0, m4, content