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Proof step 2 from proof le-add-01 (previous step)

j0 + i0 < i ⊦ i0 < i + j, j < 0, j0 < 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
¬ i < 0, ¬ j < j0 ⊦ ¬ i + j < j0
Proof step 4:
¬(¬ j0 < 0 ∧ ¬ i0 < i), j0 + i0 < i ⊦ i0 < i + j, j < 0, j0 < 0

Rule argument

spec: int-basic2 inst: name: pls-02 seq: ¬ i < 0, ¬ j < j0 ⊦ ¬ i + j < j0 subst: [j0, j, i] → [i, i0, j0] flags: rewrite

Additional information

Used terms: i, i0, j0