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Proof step 35 from proof cont-monotone (previous step)

S0(x0), f(S0)(x), ∀ x. S0(x) → S(x), f(λ x0. ∃ n. (n = 0 ⊃ S0;S)(x0))(x) ⊦ S(x0), f(S)(x)

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 3 terms: x0

Additional information

Used terms: x0