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Proof step 1 from proof le-add-04 (conclusion)

⊦ i + j0 ≤ i0 ∧ j0 ≥ 0 → i ≤ i0 + j0

User applied rule insert lemma

And obtained the following new goals

Proof step 2:
⊦ i + j0 ≤ i0 ∧ j0 ≥ 0 → i ≤ i0
Proof step 3:
i + j0 ≤ i0 ∧ j0 ≥ 0 → i ≤ i0 ⊦ i + j0 ≤ i0 ∧ j0 ≥ 0 → i ≤ i0 + j0

Rule argument

spec: int-abs inst: name: le-add-02 seq: ⊦ i + j0 ≤ i0 ∧ j0 ≥ 0 → i ≤ i0 subst: [i, j0, i0] → [i, j0, i0] flags: current, []

Additional information

Used terms: i, j0, i0