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Proof step 1 from proof dom-max-in (conclusion)
⊦ st ≠ ∅ ∧ n > (dom st).max → (n ∈ st ↔ false)
System applied rule normalize
And obtained the following new goals
Proof step 2
:
n > (dom st).max ⊦ n ∈ st ↔ false, st = ∅
Rule argument
Additional information