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Proof step 8 from proof idexcept-extract-right (previous step)

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

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 9:
# ar0 = # ar1, n0 < # ar1, ∀ m. m < # ar1 ∧ m ≠ n → ar0[m] = ar1[m] ⊦ ar1[n0] = ar0[n, ar1[n]][n0], n0 = n

Rule argument

fma: n0 = n

Additional information

Used simplifier rules: ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m < n → (n ≤ m ↔ false); (s)%m < # ar ⊦ ar[m, a][m] = a; (s) Used formulas: n0 = n