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Proof step 12 from proof at-icache-overwrite-other (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
(∅)[ino] = mkientry(boolvar0, mkinode(m0, md, boolvar, m1, m2, m3)) ⊦ (files ⊕ icache[m, ie])[ino] = files[ino], ino = m, ino ∈ icache

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ ino ∈ icache → (files ⊕ icache)[ino] = files[ino]; (s)% ⊦ ¬ ino ∈ icache → icache[ino] = (∅)[ino]; (s)