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Proof step 24 from proof div-nearer-zero (previous step)

i < 0, j * i / j < i, j < 0 ⊦ j = 0

User applied rule cut formula

And obtained the following new goals

Proof step 25:
j < 0, j * i / j < i, i < 0, ~ i < ~(j * i / j) ⊦ j = 0

Rule argument

fma: ~ i < ~(j * i / j)

Additional information

Used simplifier rules: ⊦ ~ j < ~ i ↔ i < j; (s)% ⊦ i < j ↔ ¬ j ≤ i; (ss)% ⊦ i < j → (j ≤ i ↔ false); (as) Used formulas: ~ i < ~(j * i / j)