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Proof step 4 from proof int2bits-succ-intro (previous step)

0 ≤ j, 0 ≤ j ⊦ uint2bits(j) = sgn(bitsinvert(bitsinvert(int2bits(j + 1)) +1))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ 0 ≤ j → uint2bits(j) = sgn(bitsinvert(bitsinvert(uint2bits(j + 1)) +1))
Proof step 6:
0 ≤ j, 0 ≤ j, 0 ≤ j ⊦ sgn(bitsinvert(bitsinvert(uint2bits(j + 1)) +1)) = sgn(bitsinvert(bitsinvert(int2bits(j + 1)) +1))

Rule argument

name: uint2bits-succ-intro rotate: F subst: [j] → [j]

Additional information

Used terms: j