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Proof step 3 from proof rm-rm-01 (previous step)

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

Heuristic cut applied rule cut formula

And obtained the following new goals

Proof step 4:
a ∈ x0, ∀ y. rmdup(rmdup(x0) + y) = rmdup(x0 + y) ⊦ rmdup(rmdup(a ' + x0) + y) = rmdup((a ' + x0) + y)
Proof step 6:
∀ y. rmdup(rmdup(x0) + y) = rmdup(x0 + y) ⊦ a ∈ x0, rmdup(rmdup(a ' + x0) + y) = rmdup((a ' + x0) + y)

Rule argument

fma: a ∈ x0

Additional information

Used formulas: a ∈ x0