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Proof step 8 from proof rm-vl-notin-before (previous step)

lref1 = lref0, 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) ⊦ ∃ 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 9:
eq-entry(n, lref) ∈ q0 - lref0, ∀ n, lref, lref0. eq-entry(n, lref) ∈ q0 - lref0 → (∃ n. eq-entry(n, lref) ∈ q0) ⊦ ∃ n0. eq-entry(n0, lref) = eq-entry(m, lref0) ∨ eq-entry(n0, lref) ∈ q0

Proof step 8 from proof rm-vl-notin-before (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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