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Proof step 5 from proof rm-in-03 (previous step)

∀ a. a ∈ x0 → a ∈ rmdup(x0), a = a0 ∨ a ∈ x0 ⊦ a ∈ rmdup(a0 ' + x0)

Heuristic cut applied rule cut formula

And obtained the following new goals

Proof step 6:
a0 ∈ x0, ∀ a. a ∈ x0 → a ∈ rmdup(x0), a = a0 ∨ a ∈ x0 ⊦ a ∈ rmdup(a0 ' + x0)
Proof step 8:
∀ a. a ∈ x0 → a ∈ rmdup(x0), a = a0 ∨ a ∈ x0 ⊦ a ∈ rmdup(a0 ' + x0), a0 ∈ x0

Rule argument

fma: a0 ∈ x0

Additional information

Used formulas: a0 ∈ x0