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Proof step 18 from proof cont-monotone (previous step)

n ≠ 0, f(S0)(x), S0 ⊆ S ⊦ S ⊆ (m = 0 ⊃ S0;S), (m = 0 ⊃ S0;S) ⊆ (n = 0 ⊃ S0;S), f(S)(x)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information