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Proof step 4 from proof putgetinv (previous step)

n < # ar, m < # ar ⊦ ar[m, ar[m]][n] = ar[n]

Heuristic weak cut applied rule cut formula

And closed the goal!

Rule argument

fma: n = m

Additional information

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