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Proof step 15 from proof ex1-shift (conclusion)

⊦ (_∃ rP * P)(H) ↔ (∃ r. (rP(r) * P)(H))

User applied rule case distinction

And obtained the following new goals

Proof step 5:
(_∃ rP * P)(H) ⊦ ∃ r. (rP(r) * P)(H)

Rule argument

[CASEDARG : pos: right 1, ()]

Additional information

[[CONCRETESIMPRULES : ()]]