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Proof step 6 from proof cputput-reverse (previous step)

n0 < # ar ⊦ ar[m, a][n, b][n0] = ar[n, b][m, a][n0], m = n

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 7:
n0 < # ar ⊦ ar[m, a][n, b][n0] = ar[n, b][m, a][n0], m = n, n0 = n

Rule argument

fma: n0 = n

Additional information

Used simplifier rules: Size-put: ⊦ # ar[n, a] = # ar;%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: n0 = n