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Proof step 4 from proof valid-global-sqn-write-valid (previous step)

apebs[m] = mkpeb(aehdr, avhdr, buf0, m0, boolvar0), m < # apebs, valid-peb(mkpeb(aehdr, avhdr, buf1, m1, boolvar1)), valid-peb(mkpeb(aehdr, avhdr, buf0, m0, boolvar0)), ∀ v, m2. valid-sqns(v, m2, apebs[m, mkpeb(aehdr, avhdr, buf1, m1, boolvar1)]) ≠ ∅ → valid-sqns(v, m2, apebs[m, mkpeb(aehdr, avhdr, buf1, m1, boolvar1)]).max < n ⊦ ∀ v, m2. valid-sqns(v, m2, apebs) ≠ ∅ → valid-sqns(v, m2, apebs).max < n

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
apebs[m] = mkpeb(aehdr, avhdr, buf0, m0, boolvar0), m < # apebs, valid-peb(mkpeb(aehdr, avhdr, buf0, m0, boolvar0)), valid-peb(mkpeb(aehdr, avhdr, buf1, m1, boolvar1)), n ≤ valid-sqns(v, m2, apebs).max, ∀ v, m2. valid-sqns(v, m2, apebs[m, mkpeb(aehdr, avhdr, buf1, m1, boolvar1)]) ≠ ∅ → valid-sqns(v, m2, apebs[m, mkpeb(aehdr, avhdr, buf1, m1, boolvar1)]).max < n ⊦ valid-sqns(v, m2, apebs) = ∅

Rule argument

Additional information

Used simplifier rules: ⊦ m < n ↔ ¬ n ≤ m; (ss)