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Proof step 5 from proof le-add-04 (previous step)

i + j0 ≤ i0, i ≤ i0, j0 ≥ 0 ⊦ i ≤ i0 + j0

User applied rule insert lemma

And obtained the following new goals

Proof step 6:
⊦ i ≤ i0 ∧ j0 ≥ 0 → i ≤ i0 + j0

Rule argument

spec: <toplevel> name: le-add-03 seq: ⊦ i ≤ i0 ∧ j0 ≥ 0 → i ≤ i0 + j0 subst: [i, i0, j0] → [i, i0, j0]

Additional information

Used simplifier rules: ge-def: ⊦ i ≥ j ↔ ¬ i < j;%le-def: ⊦ i ≤ j ↔ ¬ j < i; Used terms: i, i0, j0