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Proof step 2 from proof mapex-in (previous step)

(r =>_ * P)[rs, f] ⊦ r ∈ rs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
((r =>_ * P))(mk(rs, f)) ⊦ r ∈ rs

Rule argument

Additional information

Used simplifier rules: apply: ⊦ P[rs, f] ↔ P(mk(rs, f));