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Proof step 7 from proof ple-01 (previous step)

i0 < j0, i1 + 1 < j, i1 < j → ¬ i0 < j0 ⊦ j0 < i0, (i1 + 1) + i0 < j + j0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
i0 < j0, i1 + 1 < j ⊦ (i1 + 1) + i0 < j + j0, i1 < j

Rule argument

Additional information

Used simplifier rules: ls-01: ⊦ i < j → ¬ j < i; from specification int-basic1