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Proof step 35 from proof fsync-inode-err (previous step)

inode.nlink = dirs[inode.ino].nlink, inode.nsubdirs = dirs[inode.ino].nsubdirs, inode.size = dirs[inode.ino].size, icache[m] = mkientry(true, inode), err = ESUCCESS, inode.directory, m ∈ icache, inode.ino ∈ dirs ⊦ [icache_set_status#(m, false; err, icache)] (err = ESUCCESS ∨ ⌊err⌋ )

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 36:
icache[m] = mkientry(true, inode), boolvar, err = ESUCCESS, inode = mkinode(m0, md, boolvar, m1, m2, m3), m1 = dirs[m0].nlink, m2 = dirs[m0].nsubdirs, m3 = dirs[m0].size, m0 ∈ dirs, m ∈ icache ⊦ [icache_set_status#(m, false; err, icache)] (err = ESUCCESS ∨ ⌊err⌋ )

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