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Proof step 1 from proof case-10 (conclusion)

2 ≤ i, i < 10 ⊦ i = 2 ∨ i = 3 ∨ i = 4 ∨ i = 5 ∨ i = 6 ∨ i = 7 ∨ i = 8 ∨ i = 9

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
1 < i, 0 < i, 2 < i, i < 10 ⊦ i = 9, i = 8, i = 7, i = 6, i = 5, i = 4, i = 3, i = 2

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%lf-01: ⊦ i < j ∧ j < i0 → i +1 < i0; (forward) from specification int-basic1%forward-pos: ⊦ i < j ∧ 0 < i → 0 < j ∧ 1 < j; (forward) from specification int-basic1%lels-02: ⊦ i ≠ j → (i ≤ j ↔ i < j); from specification int-abs