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Proof step 7 from proof unique-sqns-update (previous step)

m < # apebs, 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} ;∅), ∀ 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)) ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ valid-peb(apeb) ↔ (∃ v, m. valid-peb(v, m, apeb))
Proof step 9:
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)) ⊦

Rule argument

spec: valid-peb name: valid-peb0 seq: ⊦ valid-peb(apeb) ↔ (∃ v, m. valid-peb(v, m, apeb)) subst: [apeb] → [mkpeb(aehdr, avhdr, buf, m1, boolvar)] flags: <all paths>

Additional information

Used terms: mkpeb(aehdr, avhdr, buf, m1, boolvar)