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Proof step 2 from proof key-set-write-other (previous step)

n < # kar, m ≤ n ⊦ keyset(kar[n, ki], m) = keyset(kar, m)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
m < # kar, n < # kar, m ≤ n ⊦ keyset(kar[n, ki], m) = keyset(kar, m)

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic