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Proof step 82 from proof splice-resize-less (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 81:
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)

Rule argument

spec: nat inst: name: elim-sub seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [m, n, n0] → [m1, n1, n] flags:

Additional information

[Concretesimprules((Csimpelim(n ≤ m ⊦ n0 = m - n ↔ m = n0 + n))), Extraterms((m1n1n))]