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Proof step 8 from proof key-set-write-other (previous step)

m0 < n, n < # kar, m0 + 1 < # kar, m0 < # kar, ∀ kar, n, ki. m0 < # kar ∧ n < # kar ∧ m0 ≤ n → keyset(kar[n, ki], m0) = keyset(kar, m0) ⊦ keyset(kar[n, ki], m0) ++ kar[m0] = keyset(kar, m0) ++ kar[m0]

User applied rule all left

And closed the goal!

Rule argument

pos: left 5 terms: kar, n, ki abort: F discard: T computed: F

Additional information

Used simplifier rules: ⊦ m < n → m ≤ n; (s) Used terms: kar, n, ki