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Proof step 4 from proof putgetinv (previous step)

m < # ar, n < # ar ⊦ ar[m, ar[m]][n] = ar[n], # ar = 0

Heuristic weak cut applied rule cut formula

And closed the goal!

Rule argument

fma: n = m

Additional information

Used simplifier rules: Put-same: ⊦ m < # ar → ar[m, a][m] = a;%Put-other: ⊦ m ≠ n → ar[n, a][m] = ar[m]; Used formulas: n = m