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Proof step 59 from proof range-copy-inner (previous step)

n5 < n0, n1 + (n3 + m0) + n5 < # ar0, n1 + n3 ≤ # ar0, n2 + n3 ≤ # ar2, n + m0 ≤ # ar, (n3 + n2) + m0 ≤ # ar2, (n3 + n1) + m0 ≤ # ar0, (n3 + n2 + m0) + n0 ≤ # ar2, ((n3 + n1) + m0) + n0 ≤ # ar0, ∀ n. n < n3 → ar2[n2 + n] = ar0[n1 + n], ∀ n4. n4 < m0 → ar2[(n3 + n2) + n4] = ar[n + n4], ∀ n. n < n0 → ar2[(n3 + n2 + m0) + n] = ar0[((n3 + n1) + m0) + n] ⊦ ar2[n2 + (n3 + m0) + n5] = ar0[n1 + (n3 + m0) + n5]

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 12 terms: n5

Additional information

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