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Proof step 11 from proof idexcept-extract-left (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
# ar0 = # ar1, m < # ar1, ∀ n0. n0 < # ar1 → ar0[n0] = ar1[n, ar0[n]][n0] ⊦ ar0[m] = ar1[m], m = n

Rule argument

Additional information

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