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Proof step 7 from proof idexcept-extract-left (previous step)

# ar0 = # ar1, n0 < # ar1, ∀ m. m < # ar1 ∧ m ≠ n → ar0[m] = ar1[m] ⊦ # ar1 = 0, ar0[n0] = ar1[n, ar0[n]][n0]

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 8:
# ar0 = # ar1, n0 < # ar1, ∀ m. m < # ar1 ∧ m ≠ n → ar0[m] = ar1[m] ⊦ n0 = n, # ar1 = 0, ar0[n0] = ar1[n, ar0[n]][n0]

Rule argument

fma: n0 = n

Additional information

Used simplifier rules: Put-same: ⊦ m < # ar → ar[m, a][m] = a; from specification array Used formulas: n0 = n