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Proof step 53 from proof mapex-new (previous step)

⊦ r = null, P(H) ↔ (r =>_ * P)(H ++ r), r ∈ H

User applied rule case distinction

And obtained the following new goals

Proof step 19:
P(H) ⊦ (r =>_ * P)(H ++ r), r = null, r ∈ H

Rule argument

[CASEDARG : pos: right 2, ()]

Additional information

[[CONCRETESIMPRULES : ()]]