| i1 +1 < j, ∀ j, i0, j0. i1 < j → i1 + i0 < j + j0 ∨ j0 < i0 ⊦ j0 < i0, i1 +1 + i0 < j + j0 |
i1 + 1 < j, ∀ j, i0, j0. i1 < j → i1 + i0 < j + j0 ∨ j0 < i0 ⊦ j0 < i0, (i1 + 1) + i0 < j + j0
Used simplifier rules: add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2% ⊦ i +1 = i + 1; (s)