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Proof step 4 from proof mult-gt-both (previous step)

i < i1, j < j1, i1 * j1 ≤ i * j, 0 ≤ i, 0 ≤ j, 0 ≤ i1, 0 ≤ j1, 0 < i1, 0 < j1, i1 * j ≤ i * j ⊦

User applied rule cut formula

And obtained the following new goals

Rule argument

fma: i * j < i * j1

Additional information

Used simplifier rules: ls-forward: ⊦ i * j < i * j0 → i ≠ 0;%associativity: ⊦ i * j * j0 = (i * j) * j0;%commutativity: ⊦ i * j = j * i;%ls-pos: ⊦ 0 < i → (i * j < i * j0 ↔ j < j0);%forward-lels: ⊦ i ≤ j ∧ j < j0 → i < j0; (forward) from specification int-abs%ls-01: ⊦ i < j → ¬ j < i; from specification int-basic1 Used formulas: i * j < i * j1