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Proof step 60 from proof fsync-inode-others-unchanged (previous step)

icache0[m] = mkientry(true, mkinode(m0, md, false, files0[m0].nlink, 0, m3)), err = ESUCCESS, icache1 = icache0, icache-cons(icache0, dirs, files0), m0 ∈ files0, m ∈ icache0 ⊦ [icache_set_status#(m, false; err, icache1)] (m0 = m ∧ (∀ ino. ino ≠ m ∧ ino ∈ files0 → (files0[m, (files0[m].meta:= md).size:= m3] ⊕ icache1)[ino] = (files0 ⊕ icache0)[ino]))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 61:
icache0[m] = mkientry(true, mkinode(m0, md, false, m2, 0, m3)), files0[m0] = mkfile(m1, md0, m2, content), err = ESUCCESS, icache1 = icache0, icache-cons(icache0, dirs, files0), m ∈ icache0, m0 ∈ files0 ⊦ [icache_set_status#(m, false; err, icache1)] (m0 = m ∧ (∀ ino. ino ≠ m ∧ ino ∈ files0 → (files0[m, (files0[m].meta:= md).size:= m3] ⊕ icache1)[ino] = (files0 ⊕ icache0)[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] → [files0[m0], m1, md0, m2, 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: files0[m0], m1, md0, m2, content