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Proof step 3 from proof unique-sqns-write-valid (previous step)

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)) ⊦ (∀ v, m0. unique-elems(valid-sqns(v, m0, apebs[m, mkpeb(aehdr, avhdr, buf1, m1, boolvar1)]))) ↔ (∀ v, m. unique-elems(valid-sqns(v, m, apebs)))

Heuristic pl case distinction applied rule case distinction

And obtained the following new goals

Proof step 4:
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, m0. unique-elems(valid-sqns(v, m0, apebs[m, mkpeb(aehdr, avhdr, buf1, m1, boolvar1)])) ⊦ ∀ v, m. unique-elems(valid-sqns(v, m, apebs))
Proof step 12:
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, m. unique-elems(valid-sqns(v, m, apebs)) ⊦ ∀ v, m0. unique-elems(valid-sqns(v, m0, apebs[m, mkpeb(aehdr, avhdr, buf1, m1, boolvar1)]))

Rule argument

pos: right 1

Proof step 3 from proof unique-sqns-write-valid (previous step)

Heuristic pl case distinction applied rule case distinction

And obtained the following new goals

Rule argument

Additional information