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

i + j ≤ j0, i0 ≤ i ⊦ i0 + j ≤ j0

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: le-def: ⊦ i ≤ j ↔ ¬ j < i;% ⊦ i < j + i0 ∧ ¬ j0 < j → i < j0 + i0; (s)%add-c: ⊦ i + j = j + i; from specification int-basic2%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2