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Proof step 13 from proof prime-def-mod (previous step)

0 ≤ j, 1 < i, 2 < j, 0 < i, 2 ≤ j, i < j, i | j, 0 < j, ∀ i. 1 < i ∧ i * i ≤ j → j % i ≠ 0 ⊦

User applied rule cut formula

And obtained the following new goals

Proof step 14:
0 ≤ j, 1 < i, 2 < j, 0 < i, 2 ≤ j, i < j, i | j, 0 < j, ∀ i. 1 < i ∧ i * i ≤ j → j % i ≠ 0 ⊦ j = 1

Rule argument

fma: j = 1

Additional information

Used simplifier rules: ls-01: ⊦ i < j → ¬ j < i; from specification int-basic1 Used formulas: j = 1