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Proof step 1 from proof coef-succ (conclusion)

⊦ 0 ≤ j → binom_coef(j + 1, j) = j + 1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
0 ≤ j ⊦ binom_coef(j + 1, j) = j + 1

Rule argument

Additional information

Used simplifier rules: forward-le-01: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward) from specification int-abs