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Proof step 3 from proof putgetinv (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
m < # ar, n < # ar ⊦ ar[m, ar[m]][n] = ar[n], # ar = 0

Rule argument

Additional information

Used simplifier rules: Size-put: ⊦ # ar[n, a] = # ar;%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic1