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Proof step 1 from proof diff-twice-union (conclusion)

⊦ (x \ y) \ z = x \ (y ∪ z)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ (x \ y) \ z = x \ rmdup(y + z)

Rule argument

Additional information

Used simplifier rules: union: ⊦ x ∪ y = rmdup(x + y);%assoc: ⊦ (x ∪ y) ∪ z = x ∪ y ∪ z;