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Proof step 1 from proof ple-01 (conclusion)

i < j, i0 ≤ j0 ⊦ i + i0 < j + j0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
i < j ⊦ i + i0 < j + j0, j0 < i0

Rule argument

Additional information

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