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Proof step 1 from proof size-toinf (conclusion)

¬ # σ < n∞ ⊦ #(σ to∞ n∞) = n∞

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ #(σ to∞ n∞) = n∞, # σ < n∞

Rule argument

Additional information