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Proof step 10 from proof pot2-ls-pred-01 (previous step)

0 < i ⊦ 2 ^ (i - 1) + 1 < 2 ^ i -1 * 2 ↔ 1 < i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
0 < i ⊦ 1 < 2 ^ (i - 1) ↔ 1 < i

Rule argument

Additional information

Used simplifier rules: add-c: ⊦ i + j = j + i; from specification int-basic2%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult% ⊦ 1 * i = i; (s)% ⊦ i + j < (* i1) * i ↔ j < (i1 - 1) * i; (s)% ⊦ i -1 = i - 1; (s)