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Proof step 4 from proof unique-sqns-update (previous step)

apeb = mkpeb(aehdr, avhdr, buf, m1, boolvar), m < # apebs, ∀ v, m. unique-elems(valid-sqns(v, m, apebs)) ⊦ (∀ v, m0. unique-elems(valid-sqns(v, m0, apebs[m, apeb]))) ↔ ¬ valid-peb(apeb) ∨ ¬ avhdr.sqn ∈ valid-sqns(avhdr.vol, avhdr.leb, apebs) \ (valid-peb(avhdr.vol, avhdr.leb, apebs[m]) ⊃ {apebs[m].vidhdr.sqn} ;∅)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
m < # apebs, ∀ v, m. unique-elems(valid-sqns(v, m, apebs)) ⊦ (∀ v, m0. unique-elems(valid-sqns(v, m0, apebs[m, mkpeb(aehdr, avhdr, buf, m1, boolvar)]))) ↔ ¬ valid-peb(mkpeb(aehdr, avhdr, buf, m1, boolvar)) ∨ ¬ avhdr.sqn ∈ valid-sqns(avhdr.vol, avhdr.leb, apebs) \ (valid-peb(avhdr.vol, avhdr.leb, apebs[m]) ⊃ {apebs[m].vidhdr.sqn} ;∅)

Proof step 4 from proof unique-sqns-update (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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