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Proof step 64 from proof fsync-inode-keep-abs (previous step)

icache[m] = mkientry(true, mkinode(m0, md, false, files[m0].nlink, 0, m3)), err = ESUCCESS, files0 = (files ⊕ pcache) ⊕ icache, icache-cons(icache, dirs, files), m ∈ icache, m0 ∈ files ⊦ [icache_set_status#(m, false; err, icache)] (files0 = (files[m0, (files[m0].meta:= md).size:= m3] ⊕ pcache) ⊕ icache)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 65:
icache[m] = mkientry(true, mkinode(m0, md, false, m2, 0, m3)), files[m0] = mkfile(m1, md0, m2, content), err = ESUCCESS, files0 = (files ⊕ pcache) ⊕ icache, icache-cons(icache, dirs, files), m0 ∈ files, m ∈ icache ⊦ [icache_set_status#(m, false; err, icache)] (files0 = (files[m0, (files[m0].meta:= md).size:= m3] ⊕ pcache) ⊕ icache)

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] → [files[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: files[m0], m1, md0, m2, content