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Proof step 11 from proof shiftright-rec-neg (previous step)

⊦ j = 0, bits2int(sublist(0, # int2bits(~1), mklist(true, i→n(j)) + int2bits(~1))) = bits2int(sublist(0, # int2bits(~1), mklist(true, i→n(abs(j) - 1)) + int2bits(~1)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 12:
⊦ i + 1 = 0 → int2bits(i) = true '
Proof step 13:
~1 + 1 = 0 ⊦ j = 0, bits2int(sublist(0, # true ', mklist(true, i→n(j)) + true ')) = bits2int(sublist(0, # true ', mklist(true, i→n(abs(j) - 1)) + true '))

Rule argument

seq: ⊦ i + 1 = 0 → int2bits(i) = true ' subst: [i] → [~1] rotate: F spec: int2bits inst: name: int2bits-mone

Additional information

Used terms: ~1