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Proof step 9 from proof idexcept-extract-left (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
# ar0 = # ar1, n0 < # ar1, ∀ m. m < # ar1 ∧ m ≠ n → ar0[m] = ar1[m] ⊦ ar0[n0] = ar1[n0], n0 = n

Rule argument

Additional information

Used simplifier rules: ⊦ m ≠ n → ar[n, a][m] = ar[m]; (s)