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Proof step 1 from proof key-set-write-last (conclusion)

m < # kar ⊦ keyset(kar[m, ki], m + 1) = keyset(kar, m) ++ ki

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
m < # kar ⊦ keyset(kar[m, ki], m + 1) = keyset(kar, m) ++ ki

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic