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Proof step 19 from proof shiftzero-zero-size (previous step)

i < 0 ⊦ j = 0, bits2int(firstn(# int2bits(i), mklist(false, i→n(j)) + int2bits(i))) = bits2int(firstn(1 + # int2bits(i), mklist(false, i→n(j)) + false ' + int2bits(i)))

User applied rule cut formula

And obtained the following new goals

Proof step 20:
mklist(false, i→n(j)) + false ' + int2bits(i) = false ' + mklist(false, i→n(j)) + int2bits(i), i < 0 ⊦ j = 0, bits2int(firstn(# int2bits(i), mklist(false, i→n(j)) + int2bits(i))) = bits2int(firstn(1 + # int2bits(i), mklist(false, i→n(j)) + false ' + int2bits(i)))
Proof step 30:
i < 0 ⊦ mklist(false, i→n(j)) + false ' + int2bits(i) = false ' + mklist(false, i→n(j)) + int2bits(i), j = 0, bits2int(firstn(# int2bits(i), mklist(false, i→n(j)) + int2bits(i))) = bits2int(firstn(1 + # int2bits(i), mklist(false, i→n(j)) + false ' + int2bits(i)))

Rule argument

fma: mklist(false, i→n(j)) + false ' + int2bits(i) = false ' + mklist(false, i→n(j)) + int2bits(i)

Additional information

Used formulas: mklist(false, i→n(j)) + false ' + int2bits(i) = false ' + mklist(false, i→n(j)) + int2bits(i)