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Proof step 50 from proof bor-2pot-plus (previous step)

int2bits(j0) = false ' + bitsinvert(bits), 0 < j, j0 < 2 ^ i, 0 ≤ i, 0 ≤ j0, 0 < 2 ^ i, 0 ≤ j, # int2bits(j0) ≤ i→n(i), false ∈ int2bits(j0) ⊦ bitsinvert(uint2bits(j)) + mklist(true, i→n(i)) = [], bits2int(uint2bits(j) + bitsinvert(bitsand(bitsinvert(int2bits(j0)), mklist(true, i→n(i))))) = j * 2 ^ i + j0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ # bits0 ≠ 0 ∧ # bits ≠ 0 ∧ ¬ bits.first → bits2int(bits + bits0) = bits2uint(bits) * 2 ^ n→i(# bits0) + bits2uint(bits0) subst: [bits0, bits] → [bitsinvert (bitsand(bitsinvert(int2bits(j0)), mklist(true, i→n(i)))), uint2bits(j)] rotate: F spec: int2bits inst: name: bits2int-split

Additional information

Used terms: bitsinvert(bitsand(bitsinvert(int2bits(j0)), mklist(true, i→n(i)))), uint2bits(j)