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Proof step 22 from proof unsub-union-01 (previous step)

∀ a. a ∈ s2 → a ∈ s, ∀ a. a ∈ s1 → a ∈ s, a ∈ s1 ∨ a ∈ s2 ⊦ a ∈ s

Heuristic cut applied rule cut formula

And obtained the following new goals

Proof step 23:
a ∈ s1, ∀ a. a ∈ s1 → a ∈ s, ∀ a. a ∈ s2 → a ∈ s, a ∈ s1 ∨ a ∈ s2 ⊦ a ∈ s
Proof step 25:
∀ a. a ∈ s1 → a ∈ s, ∀ a. a ∈ s2 → a ∈ s, a ∈ s1 ∨ a ∈ s2 ⊦ a ∈ s, a ∈ s1

Rule argument

fma: a ∈ s1

Additional information

Used formulas: a ∈ s1