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Proof step 14 from proof ex2-shiftw (previous step)

∀ r0, r1. ((rrP(r0, r1) -* P))(H) ⊦ ∀ H1. H1 ⊥ H ∧ (_∃ rrP)(H1) → P(H1 ∪ H)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
rrP(r, r0)(H0), H0 ⊥ H, ∀ r0, r1. ((rrP(r0, r1) -* P))(H) ⊦ P(H0 ∪ H)

Rule argument

Additional information

Used simplifier rules: ex2: ⊦ (_∃ rrP)(H) ↔ (∃ r0, r1. rrP(r0, r1)(H));