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Proof step 4 from proof prime-43 (previous step)

43 % i = 0, i * i ≤ 43, 0 < i, 1 < i ⊦

User applied rule cut formula

And obtained the following new goals

Proof step 5:
43 % i = 0, i * i ≤ 43, 0 < i, 1 < i ⊦ 7 * 7 ≤ i * i

Rule argument

fma: 7 * 7 ≤ i * i

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%forward-le: ⊦ i ≤ j ∧ 0 < i → 0 < j; (forward) from specification int-abs%forward-le-01: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward) from specification int-abs%forward-lele: ⊦ j ≤ j0 ∧ j0 ≤ j1 → j ≤ j1; (forward) from specification int-abs Used formulas: 7 * 7 ≤ i * i