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Proof step 10 from proof mod-add-zero (previous step)

j0 + j * i1 = 0, 0 < i1, 0 < j, j0 < j, 0 ≤ j0, 0 ≤ i0 ⊦ i1 = 0

User applied rule cut formula

And obtained the following new goals

Rule argument

fma: j0 = 0

Additional information

Used simplifier rules: ⊦ i + 0 = i; (s)%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%add-c: ⊦ i + j = j + i; from specification int-basic2% ⊦ i * j = 0 ↔ i = 0 ∨ j = 0; (ws)%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%commutativity: ⊦ i * j = j * i; from specification int-mult Used formulas: j0 = 0