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Proof step 2 from proof estimate-add1-lsle-left (previous step)

i0 < i, i + j ≤ j0 ⊦ i0 + j < j0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
i0 < i ⊦ i0 + j < j0, j0 < i + j

Rule argument

Additional information

Used simplifier rules: le-def: ⊦ i ≤ j ↔ ¬ j < i;