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Proof step 13 from proof range-eq-trans (previous step)

n < m, n1 + m ≤ # ar1, n0 + m ≤ # ar0, n2 + m ≤ # ar2, n < m → ar1[n1 + n] = ar2[n2 + n], ∀ n. n < m → ar0[n0 + n] = ar1[n1 + n], ∀ n. n < m → ar1[n1 + n] = ar2[n2 + n] ⊦ ar0[n0 + n] = ar2[n2 + n]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
ar1[n1 + n] = ar2[n2 + n], n < m, n2 + m ≤ # ar2, n0 + m ≤ # ar0, n1 + m ≤ # ar1, ∀ n. n < m → ar1[n1 + n] = ar2[n2 + n], ∀ n. n < m → ar0[n0 + n] = ar1[n1 + n] ⊦ ar0[n0 + n] = ar2[n2 + n]

Proof step 13 from proof range-eq-trans (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information