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Proof step 18 from proof eq-nonzero (previous step)

i * j = i * j0, 0 < i, j0 < j ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 19:
⊦ 0 < i → (i * j < i * j0 ↔ j < j0)
Proof step 20:
i * j = i * j0, i * j0 < i * j, 0 < i ⊦

Rule argument

spec: <toplevel> name: ls-pos seq: ⊦ 0 < i → (i * j < i * j0 ↔ j < j0) subst: [i, j, j0] → [i, j0, j] flags: <rotated> <all paths>

Additional information

Used terms: i, j0, j