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Proof step 12 from proof range-eq-trans (previous step)

range=(ar0, n0, ar1, n1, m), range=(ar1, n1, ar2, n2, m) ⊦ range=(ar0, n0, ar2, n2, m)

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, n2, ar2, n0, ar0] flags: rewrite, current

Additional information

[Concretesimprules(()), Extraterms((mn2ar2n0ar0))]