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Proof step 1 from proof idexcept-comm (conclusion)

⊦ id○(ar0, ar1, n) ↔ id○(ar1, ar0, n)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ # ar0 = # ar1 ∧ (∀ m. m < # ar0 ∧ m ≠ n → ar0[m] = ar1[m]) ↔ # ar1 = # ar0 ∧ (∀ m. m < # ar1 ∧ m ≠ n → ar1[m] = ar0[m])

Rule argument

Additional information

Used simplifier rules: Idexcept: ⊦ id○(ar0, ar1, n) ↔ ¬ ¬(# ar0 = # ar1 ∧ (∀ m. m < # ar0 ∧ m ≠ n → ar0[m] = ar1[m]));