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Proof step 2 from proof int2bits-neg-03 (previous step)

j < 0 ⊦ int2bits(j) = sgn(int2bits(2 ^ n→i(# int2bits(~ j)) + j).rest)

User applied rule insert lemma

And obtained the following new goals

Proof step 3:
⊦ j < 0 → bits2int(int2bits(j)) = bits2int(int2bits(2 ^ n→i(# int2bits(~ j)) + j).rest)
Proof step 4:
j < 0 → bits2int(int2bits(j)) = bits2int(int2bits(2 ^ n→i(# int2bits(~ j)) + j).rest), j < 0 ⊦ int2bits(j) = sgn(int2bits(2 ^ n→i(# int2bits(~ j)) + j).rest)

Rule argument

name: int2int-neg subst: [j] → [j]

Additional information

Used terms: j