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Proof step 7 from proof min-a (previous step)

⊦ j0 = min(min(i, j), j0), j < j0, i < j0

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 8:
min(i, j) < j0 ⊦ j0 = min(min(i, j), j0), j < j0, i < j0

Rule argument

fma: min(i, j) < j0

Additional information

Used simplifier rules: Min-right: ⊦ ¬ j < i → min(j, i) = i; Used formulas: min(i, j) < j0