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Proof step 40 from proof range-copy-upper (previous step)

m1 = n0 + n3, m1 ≤ n3 + m0, n3 ≤ m1, n3 + n1 ≤ # ar0, n1 ≤ # ar0, n1 + m1 ≤ # ar0, (n3 + n1) + m0 ≤ # ar0, n + m0 ≤ # ar ⊦ range=(ar2, n2, copy(ar, n, ar0, n3 + n1, m0), n1, m1) ↔ range=(ar2, n2, ar0, n1, n3) ∧ range=(ar2, n3 + n2, ar, n, n0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 39:
n3 + n1 ≤ # ar0, n1 ≤ # ar0, n1 + n0 + n3 ≤ # ar0, (n3 + n1) + m0 ≤ # ar0, n + m0 ≤ # ar, n0 ≤ m0 ⊦ range=(ar2, n2, copy(ar, n, ar0, n3 + n1, m0), n1, n0 + n3) ↔ range=(ar2, n2, ar0, n1, n3) ∧ range=(ar2, n3 + n2, ar, n, n0)

Rule argument

Additional information

[Concretesimprules((Csimpnamedseq(nat,,lep, ⊦ m ≤ m + n) Csimpnamedseq(nat-basic2,,c, ⊦ m + n = n + m) Csimpnamedseq(nat-basic2,,a, ⊦ (m + n0) + n1 = m + n0 + n1) Csimpnamedseq(nat,,lep-02, ⊦ m + n ≤ m + n0 ↔ n ≤ n0)))]