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Proof step 3 from proof prime-def-prime (previous step)

0 < i, 1 < i ⊦ prime(i) ↔ (∀ j. prime(j) ∧ j * j ≤ i → ¬ j | i)

User applied rule cut formula

And obtained the following new goals

Proof step 4:
1 < i, 0 < i, prime(i) ⊦ prime(i) ↔ (∀ j. prime(j) ∧ j * j ≤ i → ¬ j | i)
Proof step 9:
1 < i, 0 < i ⊦ prime(i) ↔ (∀ j. prime(j) ∧ j * j ≤ i → ¬ j | i), prime(i)

Rule argument

fma: prime(i)

Additional information

Used formulas: prime(i)