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Proof step 21 from proof shiftright-rec-pos (previous step)

0 ≤ i0 ⊦ bits2int(firstn(# int2bits(1), (mklist(false, i→n(i0)) + false ') + int2bits(1))) = bits2int(firstn(1, mklist(false, i→n(i0)) + false '))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 22:
⊦ 0 ≤ i → int2bits(i) = uint2bits(i)
Proof step 23:
0 ≤ 1, 0 ≤ i0 ⊦ bits2int(firstn(# uint2bits(1), (mklist(false, i→n(i0)) + false ') + uint2bits(1))) = bits2int(firstn(1, mklist(false, i→n(i0)) + false '))

Rule argument

seq: ⊦ 0 ≤ i → int2bits(i) = uint2bits(i) subst: [i] → [1] rotate: F spec: int2bits inst: name: int2bits-pos

Additional information

Used terms: 1