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Proof step 2 from proof idexcept-extract-right (previous step)

ar1[n] = a ⊦ id○(ar0, ar1, n) ↔ ar1 = ar0[n, a]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

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