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Proof step 7 from proof nls-mult-div (previous step)

0 < j, i < (i * i1) / j, i1 < j, 1 < (i * i1) / j, 0 < (i * i1) / j, 0 < i ⊦ i = 0

User applied rule cut formula

And obtained the following new goals

Rule argument

fma: (i * i1) / j < i

Additional information

Used simplifier rules: less-mult-div-01: ⊦ 0 < i ∧ 0 < j ∧ 0 < j1 ∧ i1 < j → (i * i1) / j < i;%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%commutativity: ⊦ i * j = j * i; from specification int-mult Used formulas: (i * i1) / j < i