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Proof step 7 from proof valid-eraseqd-append (previous step)

eqent = eq-entry(m0, lref0), ∀ m, lref. valid-eraseq(q0 + eq-entry(m, lref) ') ↔ ¬ m ∈ q0 ∧ valid-eraseq(q0) ⊦ ¬ m0 ∈ q0 + eq-entry(m, lref) ' ∧ valid-eraseq(q0 + eq-entry(m, lref) ') ↔ ¬ m ∈ eqent ' + q0 ∧ ¬ m0 ∈ q0 ∧ valid-eraseq(q0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
∀ m, lref. valid-eraseq(q0 + eq-entry(m, lref) ') ↔ ¬ m ∈ q0 ∧ valid-eraseq(q0) ⊦ ¬ m0 ∈ q0 + eq-entry(m, lref) ' ∧ valid-eraseq(q0 + eq-entry(m, lref) ') ↔ ¬ m ∈ eq-entry(m0, lref0) ' + q0 ∧ ¬ m0 ∈ q0 ∧ valid-eraseq(q0)

Proof step 7 from proof valid-eraseqd-append (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information