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Proof step 7 from proof uint2bits-sgn (previous step)

uint2bits(i) = false ' + bits, 0 < i, false ∈ uint2bits(i) ⊦ sgn(uint2bits(i)) = uint2bits(i)

User applied rule insert lemma

And obtained the following new goals

Proof step 8:
⊦ 0 < i → uint2bits(i).rest.first
Proof step 9:
0 < i → uint2bits(i).rest.first, uint2bits(i) = false ' + bits, 0 < i, false ∈ uint2bits(i) ⊦ sgn(uint2bits(i)) = uint2bits(i)

Rule argument

name: uint2bits-second subst: [i] → [i]

Additional information

Used terms: i