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Proof step 2 from proof idexcept-comm-simp (previous step)

id○(ar0, ar1, n) ⊦ id○(ar1, ar0, n)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
# ar0 = # ar1, m < # ar1, ∀ m. m < # ar1 ∧ m ≠ n → ar0[m] = ar1[m] ⊦ ar1[m] = ar0[m], m = n

Rule argument

Additional information

Used simplifier rules: Idexcept: ⊦ id○(ar0, ar1, n) ↔ # ar0 = # ar1 ∧ (∀ m. m < # ar0 ∧ m ≠ n → ar0[m] = ar1[m]);% ⊦ m < n → n ≠ 0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic