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Proof step 6 from proof at-icache-overwrite-other (previous step)

icache[ino].inode = mkinode(m0, md, boolvar, m1, m2, m3) ⊦ (files ⊕ icache[m, ie])[ino] = (files ⊕ icache)[ino], ino = m, ino ∈ icache ∧ ¬ boolvar

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 7:
icache[ino] = mkientry(boolvar0, inode), inode = mkinode(m0, md, boolvar, m1, m2, m3) ⊦ (files ⊕ icache[m, ie])[ino] = (files ⊕ icache)[ino], ino = m, ino ∈ icache ∧ ¬ boolvar

Rule argument

spec: icache-entry name: elim seq: ⊦ (boolvar ↔ ie.dirty) ∧ inode = ie.inode ↔ ie = mkientry(boolvar, inode) subst: [ie, boolvar, inode] → [icache[ino], boolvar0, inode]

Additional information

Used simplifier rules: ⊦ (boolvar ↔ ie.dirty) ∧ inode = ie.inode ↔ ie = mkientry(boolvar, inode); (elim) Used terms: icache[ino], boolvar0, inode