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Proof step 18 from proof max_prime_divisor-ge2 (previous step)

max_prime_divisor(i) * i0 = i, i0 < i, 0 < i, i0 ≤ 0, 0 ≤ i, 2 ≤ i ⊦ prime(i), 0 ≤ max_prime_divisor(i) ∧ i0 < 0

User applied rule cut formula

And obtained the following new goals

Proof step 19:
max_prime_divisor(i) * i0 = i, 0 < i, i0 < i, 2 ≤ i, 0 ≤ i, i0 ≤ 0 ⊦ i0 = 0, prime(i), 0 ≤ max_prime_divisor(i) ∧ i0 < 0

Rule argument

fma: i0 = 0

Additional information

Used simplifier rules: ⊦ i * 0 = 0; (s)%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%commutativity: ⊦ i * j = j * i; from specification int-mult Used formulas: i0 = 0