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Proof step 3 from proof neq-06 (previous step)

b ' + x + a ' = y + a ' + b ' + z, b ∈ y ∨ b ∈ a ' ∨ b ∈ b ' ∨ b ∈ z ⊦ a = b, a ∈ x

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 4:
b ' + x + a ' = y + a ' + b ' + z, b ∈ y ∨ b ∈ a ' ∨ b ∈ b ' ∨ b ∈ z ⊦ a = b, y = [], a ∈ x

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 = []