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Proof step 9 from proof in-rm-v-in (previous step)

eq-entry(n, lref) ∈ q0 - lref0.vol, ∀ n, lref, v. eq-entry(n, lref) ∈ q0 - v → (∃ n. eq-entry(n, lref) ∈ q0) ⊦ lref0 = none, ∃ n0. eq-entry(n0, lref) = eq-entry(m, lref0) ∨ eq-entry(n0, lref) ∈ q0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

spec: lebref name: elim seq: ⊦ lref ≠ none → (v = lref.vol ∧ m = lref.leb ↔ lref = v × m) subst: [lref, v, m] → [lref0, v0, m0]

Additional information

Used simplifier rules: ⊦ lref ≠ none → (v = lref.vol ∧ m = lref.leb ↔ lref = v × m); (elim) Used terms: lref0, v0, m0