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Proof step 6 from proof le-add-01 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-basic2 name: pls-04 seq: i + j < i0 + j0, ¬ j < j0 ⊦ i < i0 subst: [i, j, i0, j0] → [i0, j, i + j, 0] flags: <all paths>

Additional information

Used simplifier rules: ⊦ 0 + i = i; (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 → i1 + i < i1 + j; (s) Used terms: i0, j, i + j, 0