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Proof step 1 from proof in-single (conclusion)

⊦ n ∈ eq-entry(m, lref) ' ↔ n = m

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ ∃ eqent. eqent.pnum = m ∧ eqent = eq-entry(eqent.pnum, lref)

Rule argument

Additional information

Used simplifier rules: queue-in: ⊦ n ∈ q ↔ (∃ eqent. eqent.pnum = n ∧ eqent ∈ q);% ⊦ eq-entry(m, lref).pnum = m; (s)% ⊦ eqent ∈ eqent0 ' ↔ eqent = eqent0; (s)