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Proof step 29 from proof intshiftrsign-rec-neg (previous step)

i < 0, j < 32, 0 < j ⊦ j = 0, i = ~1, bits2int(true ' + sublist(0, # int2bits((i - 1) / 2), mklist(true, i→n(j) - 1) + int2bits((i - 1) / 2) + (i % 2 ≠ 0)')) = bits2int(sublist(0, # int2bits((i - 1) / 2), mklist(true, i→n(j - 1)) + int2bits((i - 1) / 2)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 30:
⊦ (bits + bits0) + bits1 = bits + bits0 + bits1
Proof step 31:
i < 0, j < 32, 0 < j ⊦ j = 0, i = ~1, bits2int(true ' + sublist(0, # int2bits((i - 1) / 2), (mklist(true, i→n(j) - 1) + int2bits((i - 1) / 2)) + (i % 2 ≠ 0)')) = bits2int(sublist(0, # int2bits((i - 1) / 2), mklist(true, i→n(j - 1)) + int2bits((i - 1) / 2)))

Rule argument

seq: ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1 subst: [bits1, bits0, bits] → [(i % 2 ≠ 0)', int2bits((i - 1) / 2), mklist(true, i→n(j) - 1)] rotate: T spec: list inst: bitlista name: a

Additional information

Used terms: (i % 2 ≠ 0)', int2bits((i - 1) / 2), mklist(true, i→n(j) - 1)