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Proof step 9 from proof square-neq-any (previous step)

j * j = i * j0 * j0, i < 0 ⊦ i = 0, j = 0, ∃ i0. i = i0 * i0

User applied rule cut formula

And obtained the following new goals

Proof step 10:
j * j = i * j0 * j0, i < 0 ⊦ i = 0, j = 0, j0 = 0, ∃ i0. i = i0 * i0

Rule argument

fma: j0 = 0

Additional information

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