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Proof step 8 from proof sum-of-differences-rem (previous step)

sum-of-differences(n, bag0 -- m) = (m ∈ bag0 ⊃ sum-of-differences(n, bag0) - (n - m);sum-of-differences(n, bag0)), m ∈ bag0 ⊦ (n - vtblpnum) + sum-of-differences(n, bag0 -- m) = (n - vtblpnum) + sum-of-differences(n, bag0) - (n - m), vtblpnum = m

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
sum-of-differences(n, bag0 -- m) = sum-of-differences(n, bag0) - (n - m), m ∈ bag0 ⊦ (n - vtblpnum) + (sum-of-differences(n, bag0) - (n - m)) = (n - vtblpnum) + sum-of-differences(n, bag0) - (n - m), vtblpnum = m

Proof step 8 from proof sum-of-differences-rem (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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