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Proof step 9 from proof Inv-last-inner-init-a (previous step)

# A = # A0, i + 1 < # A0, perm(A[0, y][1, x], A0), sorted(A, 2, i + 2), i ≤ # A0, 0 ≠ i → x < A[2] ⊦ x < y, perm(A[1, x][0, y], A0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
m ≠ n ⊦ ar[m, a][n, b] = ar[n, b][m, a]

Rule argument

spec: array name: cputput-reverse seq: m ≠ n ⊦ ar[m, a][n, b] = ar[n, b][m, a] subst: [b, n, a, m, ar] → [y, 0, x, 1, A] flags: <all paths>

Additional information

Used terms: y, 0, x, 1, A