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Proof step 1 from proof two-pred (conclusion)

⊦ 2 * (i - 1) + 1 = 2 * i - 1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ 2 * i = (2 * (i - 1) + 1) + 1

Rule argument

Additional information

Used simplifier rules: ⊦ i - j = i0 ↔ i = i0 + j; (s)