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Proof step 4 from proof in-02 (previous step)

a ∈ (a0 ' + x0) -l a, ∀ a. ¬ a ∈ x0 -l a ⊦

Heuristic cut applied rule cut formula

And obtained the following new goals

Proof step 5:
a = a0, a ∈ (a0 ' + x0) -l a, ∀ a. ¬ a ∈ x0 -l a ⊦
Proof step 7:
a ∈ (a0 ' + x0) -l a, ∀ a. ¬ a ∈ x0 -l a ⊦ a = a0

Rule argument

fma: a = a0

Additional information

Used formulas: a = a0