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Proof step 24 from proof range-copy-lower (previous step)

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

User applied rule all left

And obtained the following new goals

Proof step 25:
n5 < n4, (n3 + n0) + n4 + n1 ≤ # ar0, n + n1 + n3 ≤ # ar, n0 + n1 + n3 ≤ # ar0, n3 + n0 ≤ # ar0, n0 ≤ # ar0, n2 + n4 + n1 ≤ # ar2, n5 + n1 < n4 + n1 → ar2[n2 + n5 + n1] = copy(ar, n, ar0, n0, n1 + n3)[(n3 + n0) + n5 + n1], ∀ n5. n5 < n4 + n1 → ar2[n2 + n5] = copy(ar, n, ar0, n0, n1 + n3)[(n3 + n0) + n5] ⊦ ar2[(n1 + n2) + n5] = ar0[(n0 + n1 + n3) + n5]

Rule argument

pos: left 8 terms: n5 + n1 abort: F discard: F computed: F

Additional information

Used terms: n5 + n1