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Proof step 9 from proof unique-sqns-update (previous step)

m < # apebs, avhdr.sqn ∈ valid-sqns(avhdr.vol, avhdr.leb, apebs) \ (valid-peb(avhdr.vol, avhdr.leb, apebs[m]) ⊃ {apebs[m].vidhdr.sqn} ;∅), ∀ 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)])), ∃ v, m. valid-peb(v, m, mkpeb(aehdr, avhdr, buf, m1, boolvar)) ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
m < # apebs, valid-peb(v, m0, mkpeb(aehdr, avhdr, buf, m1, boolvar)), avhdr.sqn ∈ valid-sqns(v, m0, apebs) \ (valid-peb(v, m0, apebs[m]) ⊃ {apebs[m].vidhdr.sqn} ;∅), ∀ v, m0. unique-elems(valid-sqns(v, m0, apebs[m, mkpeb(aehdr, avhdr, buf, m1, boolvar)])), ∀ v, m. unique-elems(valid-sqns(v, m, apebs)) ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ valid-peb(v, m, mkpeb(aehdr, avhdr, buf, m0, boolvar)) → avhdr.leb = m; (s)%⊦ valid-peb(v, m, mkpeb(aehdr, avhdr, buf, m0, boolvar)) → avhdr.vol = v; (s)