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Proof step 5 from proof rm-notin-01 (previous step)

rmdup(x) = y + a ' + z, a ∈ y, a ∈ x ⊦

User applied rule cut formula

And obtained the following new goals

Proof step 6:
rmdup(x) = y + a ' + z, a ∈ y, a ∈ x ⊦ dups(rmdup(x))

Rule argument

fma: dups(rmdup(x))

Additional information

Used simplifier rules: rm-nodups: ⊦ ¬ dups(rmdup(x)); Used formulas: dups(rmdup(x))