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Proof step 72 from proof eq-io-evict (previous step)

⟨afs_evict#(mkinode(m, md, false, files1[m].nlink, 0, m2), asynced0; err, dirs1, files1)⟩ (err = err0 ∧ dirs1 = dirs0 ∧ files1 = files0), files1[m].nlink ≠ 0, m ≠ ROOT_INO, m ∈ files1, ¬ m ∈ dirs1 ⊦ ESUCCESS = err0 ∧ dirs1 = dirs0 ∧ files1 = files0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 73:
⟨afs_evict#(mkinode(m, md, false, m1, 0, m2), asynced0; err, dirs1, files1)⟩ (err = err0 ∧ dirs1 = dirs0 ∧ files1 = files0), files1[m] = mkfile(m0, md0, m1, content), m ∈ files1 ⊦ m = ROOT_INO, m1 = 0, m ∈ dirs1, ESUCCESS = err0 ∧ dirs1 = dirs0 ∧ files1 = files0

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], m0, md0, m1, 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], m0, md0, m1, content