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Proof step 11 from proof unique-sqns-write-valid (previous step)

apebs[m] = mkpeb(aehdr, avhdr, buf0, m0, boolvar0), m < # apebs, unique-elems(valid-sqns(v, m2, apebs) ∪ (valid-peb(v, m2, mkpeb(aehdr, avhdr, buf1, m1, boolvar1)) ⊃ {avhdr.sqn} ;∅)), valid-peb(mkpeb(aehdr, avhdr, buf0, m0, boolvar0)), valid-peb(mkpeb(aehdr, avhdr, buf1, m1, boolvar1)) ⊦ unique-elems(valid-sqns(v, m2, apebs)), v = avhdr.vol ∧ m2 = avhdr.leb

Heuristic nonsplitting cut applied rule cut formula

And closed the goal!

Rule argument

fma: valid-peb(v, m2, mkpeb(aehdr, avhdr, buf1, m1, boolvar1))

Additional information

Used simplifier rules: ⊦ ∅ ∪ bag0 = bag0; (s)%union-ass: ⊦ bag ∪ bag3 ∪ bag4 = (bag ∪ bag3) ∪ bag4; from specification bag-union[nat-bag]%union-com: ⊦ bag ∪ bag2 = bag2 ∪ bag; from specification bag-union[nat-bag]%⊦ valid-peb(v0, m0, apeb) → (valid-peb(v1, m1, apeb) ↔ v0 = v1 ∧ m0 = m1); (s)% ⊦ bag ∪ {n} = bag ++ n; (s)% ⊦ unique-elems(bag ++ m) ↔ unique-elems(bag) ∧ ¬ m ∈ bag; (s) Used formulas: valid-peb(v, m2, mkpeb(aehdr, avhdr, buf1, m1, boolvar1))