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Proof step 12 from proof rm-vl-notin-before (previous step)

eq-entry(n, lref) ∈ (lref1 = lref0 ⊃ q0 - lref0;eq-entry(m, lref1) ' + (q0 - lref0)), ∀ n, lref, lref0. eq-entry(n, lref) ∈ q0 - lref0 → (∃ n. eq-entry(n, lref) ∈ q0) ⊦ lref1 = lref0, ∃ n0. eq-entry(n0, lref) = eq-entry(m, lref1) ∨ eq-entry(n0, lref) ∈ q0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
∀ n, lref, lref0. eq-entry(n, lref) ∈ q0 - lref0 → (∃ n. eq-entry(n, lref) ∈ q0), eq-entry(n, lref) = eq-entry(m, lref1) ∨ eq-entry(n, lref) ∈ q0 - lref0 ⊦ lref1 = lref0, ∃ n0. eq-entry(n0, lref) = eq-entry(m, lref1) ∨ eq-entry(n0, lref) ∈ q0

Rule argument

Additional information

Used simplifier rules: a: ⊦ (q + q0) + q1 = q + q0 + q1; from specification list[erasequeue-base]% ⊦ eqent ∈ eqent0 ' + q ↔ eqent = eqent0 ∨ eqent ∈ q; (s)