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Proof step 3 from proof f-rm (previous step)

∀ y. filter(rmdup(x0), y) = rmdup(filter(x0, y)) ⊦ filter(rmdup(a ' + x0), y) = rmdup(filter(a ' + x0, y))

Heuristic cut applied rule cut formula

And obtained the following new goals

Proof step 4:
a ∈ y, ∀ y. filter(rmdup(x0), y) = rmdup(filter(x0, y)) ⊦ filter(rmdup(a ' + x0), y) = rmdup(filter(a ' + x0, y))
Proof step 16:
∀ y. filter(rmdup(x0), y) = rmdup(filter(x0, y)) ⊦ a ∈ y, filter(rmdup(a ' + x0), y) = rmdup(filter(a ' + x0, y))

Rule argument

fma: a ∈ y

Additional information

Used formulas: a ∈ y