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Proof step 12 from proof rightshift-zero (previous step)

(i + 1) >> 0 = i + 1 ⊦ i = i >> 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ i >> j = bits2int(sublist(0, # int2bits(i), mklist(int2bits(i).first, i→n(j)) + int2bits(i)))
Proof step 14:
bits2int(sublist(0, # int2bits(i + 1), mklist(int2bits(i + 1).first, i→n(0)) + int2bits(i + 1))) = i + 1 ⊦ i = i >> 0

Rule argument

name: shiftrsign-01 rotate: F subst: [j, i] → [0, i + 1]

Additional information

Used terms: 0, i + 1