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Proof step 11 from proof range-eq-resize (previous step)

range=(ar0, n0, resize(ar1, n), n1, m), n ≤ # ar1 ⊦ range=(ar0, n0, ar1, n1, m) ∧ m + n1 ≤ n

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ range=(ar0, n0, ar1, n1, m) ↔ n0 + m ≤ # ar0 ∧ n1 + m ≤ # ar1 ∧ (∀ n. n < m → ar0[n0 + n] = ar1[n1 + n])

Rule argument

spec: inst: name: range-eq-ext seq: ⊦ range=(ar0, n0, ar1, n1, m) ↔ n0 + m ≤ # ar0 ∧ n1 + m ≤ # ar1 ∧ (∀ n. n < m → ar0[n0 + n] = ar1[n1 + n]) subst: [m, n1, ar1, n0, ar0] → [m, n1, resize(ar1, n), n0, ar0] flags: rewrite, current

Additional information

[Concretesimprules(()), Extraterms((mn1resize(ar1, n)n0ar0))]