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Proof step 47 from proof range-copy-lower (previous step)

(n3 + n0) + n5 < # ar0, n5 < n4 + n1, n0 ≤ # ar0, n3 + n0 ≤ # ar0, n0 + n1 + n3 ≤ # ar0, n + n1 + n3 ≤ # ar, n2 + n1 ≤ # ar2, (n + n3) + n1 ≤ # ar, (n1 + n2) + n4 ≤ # ar2, (n0 + n1 + n3) + n4 ≤ # ar0, ∀ n4. n4 < n1 → ar2[n2 + n4] = ar[(n + n3) + n4], ∀ n. n < n4 → ar2[(n1 + n2) + n] = ar0[(n0 + n1 + n3) + n] ⊦ ar2[n2 + n5] = ar[n3 + n5 + n], n1 ≤ n5

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 11 terms: n5

Additional information

Used simplifier rules: ⊦ m ≤ n ↔ ¬ n < m; (ss)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic Used terms: n5