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Proof step 3 from proof Inv-end-init (previous step)

# A = # A0, perm(A, A0), sorted(A, 0, m), m ≤ # A0 ⊦ # A0 = 0, m = 0, perm(A[m, A[m]], A)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: array name: put-same-content seq: ⊦ ar[n] = a → ar[n, a] = ar subst: [a, n, ar] → [A[m], m, A] flags: <all paths>

Additional information

Used simplifier rules: ⊦ perm(A, A); (s) Used terms: A[m], m, A