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Proof step 114 from proof fsync-inode-keep-abs (previous step)

icache[m] = mkientry(true, mkinode(m0, md, boolvar, m1, m2, m3)), icache-cons(icache, dirs, files), m ∈ icache, m0 ∈ dirs ∧ m1 = dirs[m0].nlink ∧ m3 = dirs[m0].size ∧ m2 = dirs[m0].nsubdirs ∧ boolvar ∨ m0 ∈ files ∧ m1 = files[m0].nlink ∧ m2 = 0 ∧ ¬ boolvar ⊦ [fail#(; ; err); asynced := ?; files0 := (files ⊕ pcache) ⊕ icache; if err = ESUCCESS then {asynced := false; icache_set_status#(m, asynced; err, icache)}] (files0 = (files ⊕ pcache) ⊕ icache)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 115:
icache[m] = mkientry(true, mkinode(m0, md, boolvar, m1, m2, m3)), files[m0] = mkfile(m4, md0, m5, content), icache-cons(icache, dirs, files), m ∈ icache, m0 ∈ dirs ∧ m1 = dirs[m0].nlink ∧ m3 = dirs[m0].size ∧ m2 = dirs[m0].nsubdirs ∧ boolvar ∨ m0 ∈ files ∧ m1 = m5 ∧ m2 = 0 ∧ ¬ boolvar ⊦ [fail#(; ; err); asynced := ?; files0 := (files ⊕ pcache) ⊕ icache; if err = ESUCCESS then {asynced := false; icache_set_status#(m, asynced; err, icache)}] (files0 = (files ⊕ 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], m4, md0, m5, 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], m4, md0, m5, content