| ∃ i. i + i = j0 ∨ i + i + 1 = j0 ⊦ ∃ i. i + i = j0 +1 ∨ i + i + 1 = j0 +1 |
i + i = j0 ∨ i + i + 1 = j0 ⊦ ∃ i0. i0 + i0 = j0 + 1 ∨ i0 + i0 = j0
Used simplifier rules: succ-01: ⊦ i +1 = i + 1;%add-in: ⊦ i + j = i + i0 ↔ j = i0;%add-a: ⊦ i + j + i0 = (i + j) + i0;%add-c: ⊦ i + j = j + i;