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Proof step 4 from proof idexcept-same (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
# ar0 = # ar1, ar0[n] = ar1[n], n0 < # ar1, ∀ m. m < # ar1 → ar0[m] = ar1[m] ⊦ # ar1 = 0, ar0[n0] = ar1[n0]

Rule argument

Additional information

Used simplifier rules: lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic1%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic1