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Proof step 3 from proof estimate-add2-lsle-right (previous step)

j < j0 ⊦ i0 < i + j0, i + j < i0

User applied rule cut formula

And obtained the following new goals

Proof step 4:
j < j0 ⊦ i + j < i0, i0 < i + j0, i + j0 ≤ i + j

Rule argument

fma: i + j0 ≤ i + j

Additional information

Used simplifier rules: le-add: ⊦ i + j ≤ i0 + j ↔ i ≤ i0;%lels-03: ⊦ i < j → (j ≤ i ↔ false);%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%add-c: ⊦ i + j = j + i; from specification int-basic2 Used formulas: i + j0 ≤ i + j