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Proof step 10 from proof rm-notin-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
rmdup(x) = y + a ' + z, a ∈ z ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ x = y + a ' + z → a ∈ x; (s)%a: ⊦ (x + y) + z = x + y + z; from specification list