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Proof step 19 from proof shiftright-rec-pos (previous step)

0 ≤ i, 0 ≤ i0, i ≤ 1 ⊦ bits2int(firstn(# int2bits(i), (mklist(false, i→n(i0)) + false ') + int2bits(i))) = bits2int(firstn(# int2bits(i / 2), mklist(false, i→n(i0)) + int2bits(i / 2)))

User applied rule cut formula

And obtained the following new goals

Proof step 20:
i = 1, 0 ≤ i, 0 ≤ i0, i ≤ 1 ⊦ bits2int(firstn(# int2bits(i), (mklist(false, i→n(i0)) + false ') + int2bits(i))) = bits2int(firstn(# int2bits(i / 2), mklist(false, i→n(i0)) + int2bits(i / 2)))
Proof step 49:
0 ≤ i, 0 ≤ i0, i ≤ 1 ⊦ i = 1, bits2int(firstn(# int2bits(i), (mklist(false, i→n(i0)) + false ') + int2bits(i))) = bits2int(firstn(# int2bits(i / 2), mklist(false, i→n(i0)) + int2bits(i / 2)))

Rule argument

fma: i = 1

Additional information

Used formulas: i = 1