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Proof step 9 from proof in-rec (previous step)

b ' + x = y + a ' + z ⊦ a = b, ∃ y, z. x = y + a ' + z

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 10:
b ' + x = y + a ' + z ⊦ y = [], a = b, ∃ y, z. x = y + a ' + z

Rule argument

fma: y = []

Additional information

Used simplifier rules: Nil: ⊦ [] + x = x;%a: ⊦ (x + y) + z = x + y + z;%c-06: ⊦ a ' + x = b ' + y ↔ a = b ∧ x = y; Used formulas: y = []