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Proof step 5 from proof valid-global-sqn-next (previous step)

apebs[m] = mkpeb(aehdr, avhdr, buf, m1, boolvar), m < # apebs, ∀ v, m0. valid-sqns(v, m0, apebs, m) ≠ ∅ → valid-sqns(v, m0, apebs, m).max < n ⊦ (∀ v, m0. valid-sqns(v, m0, apebs, m) ∪ (valid-peb(v, m0, mkpeb(aehdr, avhdr, buf, m1, boolvar)) ⊃ {avhdr.sqn} ;∅) ≠ ∅ → (valid-sqns(v, m0, apebs, m) ∪ (valid-peb(v, m0, mkpeb(aehdr, avhdr, buf, m1, boolvar)) ⊃ {avhdr.sqn} ;∅)).max < n) ↔ ¬ valid-peb(mkpeb(aehdr, avhdr, buf, m1, boolvar)) ∨ avhdr.sqn < n

User applied rule case distinction

And obtained the following new goals

Rule argument

pos: right 1

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