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Proof step 62 from proof fsync-inode-keep-abs (previous step)

inode.nlink = files[inode.ino].nlink, inode.nsubdirs = 0, icache[m] = mkientry(true, inode), err = ESUCCESS, files0 = (files ⊕ pcache) ⊕ icache, icache-cons(icache, dirs, files), m ∈ icache, inode.ino ∈ files, ¬ inode.directory ⊦ [icache_set_status#(m, false; err, icache)] (files0 = (files[inode.ino, (files[inode.ino].meta:= inode.meta).size:= inode.size] ⊕ pcache) ⊕ icache)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 63:
icache[m] = mkientry(true, inode), ¬ boolvar, err = ESUCCESS, files0 = (files ⊕ pcache) ⊕ icache, inode = mkinode(m0, md, boolvar, m1, m2, m3), m1 = files[m0].nlink, m2 = 0, 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: inode name: elim seq: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2) subst: [inode, m, md, boolvar, m0, m1, m2] → [inode, m0, md, boolvar, m1, m2, m3]

Additional information

Used simplifier rules: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2); (elim) Used terms: inode, m0, md, boolvar, m1, m2, m3