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Proof step 5 from proof write (conclusion)

⊦ r ∈ rs → mk(rs, f(r ; o)) = (mk(rs, f)[r, o])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
r ∈ rs ⊦ rs = ∅, mk(rs, f(r ; o)) = (mk(rs, f)[r, o]), # rs = 0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ rs ≠ ∅ → # rs ≠ 0], [CSIMPFORWARD : ⊦ r ∈ rs → rs ≠ ∅])]]