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Proof step 11 from proof mk-exists (previous step)

∃ H0, o. H = (H0 ++ r)[r, o] ∧ ¬ r ∈ H0, ∀ H0. # H0 < # H → true → (∃ rs, f. H0 = mk(rs, f)) ⊦ r = null, ∃ rs, f. H = mk(rs, f)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information