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

0 ≤ j, 0 < j ⊦ uint2bits(j) = sgn(false ' + int2bits(j - 1) +1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ 0 < j → uint2bits(j) = sgn(false ' + uint2bits(j - 1) +1)
Proof step 6:
0 < j, 0 ≤ j, 0 < j ⊦ sgn(false ' + uint2bits(j - 1) +1) = sgn(false ' + int2bits(j - 1) +1)

Rule argument

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

Additional information

Used terms: j