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Proof step 73 from proof range-eq-splice-less (previous step)

ar2[n2 + n3] = (n3 < n4 ⊃ resize(ar0, (n1 + n4) + m1)[n1 + n3];ar[n3 + n - n4]), n3 < n4 + m0, n3 < m0, n3 < m1, # ar0 < (n1 + n4) + m1, # ar0 < (n1 + n4) + m0, n3 < n4 + m1, n3 < n4, n2 + m1 ≤ # ar2, n + m0 ≤ # ar, m1 ≤ m0 ⊦ ar2[n2 + n3] = resize(ar0, (n1 + n4) + m0)[n1 + n3]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 74:
ar2[n2 + n3] = resize(ar0, (n1 + n4) + m1)[n1 + n3], n3 < n4 + m0, n3 < m0, n3 < m1, # ar0 < (n1 + n4) + m1, # ar0 < (n1 + n4) + m0, n3 < n4 + m1, n3 < n4, n2 + m1 ≤ # ar2, n + m0 ≤ # ar, m1 ≤ m0 ⊦ ar2[n2 + n3] = resize(ar0, (n1 + n4) + m0)[n1 + n3]

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic