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Proof step 1 from proof ex1-shiftw-inst (conclusion)

⊦ (((_∃ rP -* P) * P0))(H) ↔ (((_∃ rP -* P) * P0))(H) ∧ (((rP(r) -* P) * P0))(H)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
(((_∃ rP -* P) * P0))(H) ⊦ (((rP(r) -* P) * P0))(H)

Rule argument

Additional information