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Proof step 23 from proof intshiftrzero-prop-01 (previous step)

~2147483648 ≤ i, i < 0, band(j, 31) ≤ 31, 0 < band(j, 31) ⊦ band(j, 31) = 0, bits2int(sublist(0, # fillsgn(32, int2bits(i)), mklist(false, i→n(band(j, 31))) + fillsgn(32, int2bits(i)))) = bits2int(int2bits(2) + mklist(false, 31 - i→n(band(j, 31)))) + (i i>> j), false ∈ int2bits(31).rest

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ 0 ≤ i → int2bits(i) = uint2bits(i) subst: [i] → [2] rotate: F spec: int2bits inst: name: int2bits-pos

Additional information

Used simplifier rules: band-commutativity: ⊦ band(i, j) = band(j, i); Used terms: 2