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Proof step 16 from proof int2bits-neg-03 (previous step)

int2bits(2 ^ n→i(# int2bits(~ j)) + j) = boolvar ', j < 0, 2 ^ n→i(# int2bits(~ j)) + j < 0 ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 17:
⊦ i < 0 → int2bits(i) = sgn(bitsinvert(uint2bits(abs(i))) +1)
Proof step 18:
2 ^ n→i(# int2bits(~ j)) + j < 0, sgn(bitsinvert(uint2bits(abs(2 ^ n→i(# int2bits(~ j)) + j))) +1) = boolvar ', j < 0, 2 ^ n→i(# int2bits(~ j)) + j < 0 ⊦

Rule argument

name: int2bits-neg rotate: F subst: [i] → [2 ^ n→i(# int2bits(~ j)) + j]

Additional information

Used terms: 2 ^ n→i(# int2bits(~ j)) + j