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Proof step 4 from proof idexcept-extract-left (previous step)

⊦ # ar0 = # ar1 ∧ (∀ m. m < # ar0 ∧ m ≠ n → ar0[m] = ar1[m]) ↔ # ar0 = # ar1[n, ar0[n]] ∧ (∀ n0. n0 < # ar0 → ar0[n0] = ar1[n, ar0[n]][n0])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
# ar0 = # ar1 ⊦ (∀ m. m < # ar1 ∧ m ≠ n → ar0[m] = ar1[m]) ↔ (∀ n0. n0 < # ar1 → ar0[n0] = ar1[n, ar0[n]][n0])

Rule argument

Additional information

Used simplifier rules: Size-put: ⊦ # ar[n, a] = # ar; from specification array