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Proof step 4 from proof splice-resize-less (previous step)

m1 = n2 + n1, n1 ≤ m1 ⊦ m0 = 0, resize(splice(ar0, n0, ar1, n1, m0), m1) = resize(splice(ar0, n0, ar1, n1, min(m0, n2)), m1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
⊦ m0 = 0, resize(splice(ar0, n0, ar1, n1, m0), n2 + n1) = resize(splice(ar0, n0, ar1, n1, min(m0, n2)), n2 + n1)

Rule argument

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m ≤ m + n; (s)