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Proof step 11 from proof mods-nls (previous step)

0 < i, j < 0, 0 < j * (i + 1) ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: zero-gr-01 seq: ⊦ i < 0 → (0 < i * j ↔ j < 0) subst: [j, i] → [i + 1, j] flags: <all paths>

Additional information

Used simplifier rules: ⊦ i + (* j) < (* j0) ↔ i < j0 - j; (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 ∧ ¬ i0 < j → ¬ i0 < i; (s) Used terms: i + 1, j