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Proof step 4 from proof lebrefs-append-lref (previous step)

eqent = eq-entry(m0, lref), ∀ n, v, m. (q0 + eq-entry(n, v × m) ').lebrefs = q0.lebrefs ++ (v × m) ⊦ (q0 + eq-entry(n, v × m) ').lebrefs ∪ (lref ≠ none ⊃ ∅ ++ lref;∅) = (q0.lebrefs ∪ (lref ≠ none ⊃ ∅ ++ lref;∅)) ++ (v × m)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
∀ n, v, m. (q0 + eq-entry(n, v × m) ').lebrefs = q0.lebrefs ++ (v × m) ⊦ (q0 + eq-entry(n, v × m) ').lebrefs ∪ (lref ≠ none ⊃ ∅ ++ lref;∅) = (q0.lebrefs ∪ (lref ≠ none ⊃ ∅ ++ lref;∅)) ++ (v × m)

Proof step 4 from proof lebrefs-append-lref (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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