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Proof step 5 from proof mods-nls (previous step)

0 < i, i * j < j, 0 ≤ j ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-mult inst: name: ls-same seq: ⊦ 0 < i → (i * j < i ↔ j < 1) subst: [j, i] → [i, j] flags: rewrite, current

Additional information

Used simplifier rules: commutativity: ⊦ i * j = j * i;%zero-left: ⊦ 0 * i = 0;%associativity: ⊦ i * j * j0 = (i * j) * j0;%commutativity: ⊦ i * j = j * i;%num-between: i + 1 = i0 ⊦ j < (* i0) → ¬ (* i) < j; from specification int-basic2%lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs%anti: ⊦ i ≤ j → (j ≤ i ↔ i = j); from specification int-abs%lf-02: ⊦ i < j ∧ j = i0 → i < i0; (forward) from specification int-basic1 Used terms: i, j