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Proof step 15 from proof cast-b2i-01 (previous step)

2 ^ i0 < 128, 0 ≤ i0, 0 < i0, 7 ≤ i0, 2 ^ i0 ≤ b2i(by) ⊦ ~1 = i0, cast(i0 + 1, b2i(by)) = b2i(by)

User applied rule cut formula

And obtained the following new goals

Proof step 16:
128 = 2 ^ 7, 2 ^ i0 < 128, 0 ≤ i0, 0 < i0, 7 ≤ i0, 2 ^ i0 ≤ b2i(by) ⊦ ~1 = i0, cast(i0 + 1, b2i(by)) = b2i(by)

Rule argument

fma: 128 = 2 ^ 7

Additional information

Used formulas: 128 = 2 ^ 7