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Proof step 4 from proof mk-succ (previous step)

a ' + mklist(a, n) = z1 + b ' + z, mklist(a, n + 1) = z1 + a0 ' + z0, a ∈ z1 ∨ a = b ∨ a ∈ z ⊦ a0 = b, mklist(a, n + 1) = a ' + mklist(a, n)

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 5:
z1 = [], a ' + mklist(a, n) = z1 + b ' + z, mklist(a, n + 1) = z1 + a0 ' + z0, a ∈ z1 ∨ a = b ∨ a ∈ z ⊦ a0 = b, mklist(a, n + 1) = a ' + mklist(a, n)
Proof step 10:
a ' + mklist(a, n) = z1 + b ' + z, mklist(a, n + 1) = z1 + a0 ' + z0, a ∈ z1 ∨ a = b ∨ a ∈ z ⊦ z1 = [], a0 = b, mklist(a, n + 1) = a ' + mklist(a, n)

Rule argument

fma: z1 = []

Additional information

Used formulas: z1 = []