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Proof step 7 from proof keyset-size-bound (previous step)

m0 + 1 < #(keyset(kar, m0) ++ kar[m0]), m0 + 1 < # kar, m0 < # kar, ∀ kar0. ¬ m0 < # keyset(kar0, m0) ∨ ¬ m0 < # kar0 ⊦

User applied rule all left

And obtained the following new goals

Proof step 8:
m0 < # kar, m0 + 1 < # kar, m0 + 1 < #(keyset(kar, m0) ++ kar[m0]), ¬ m0 < # keyset(kar, m0) ∨ ¬ m0 < # kar ⊦

Rule argument

pos: left 4 terms: kar abort: F discard: T computed: T

Additional information

Used terms: kar