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Proof step 2 from proof cast-mod-ls-most (previous step)

0 < i ⊦ 2 ^ (i - 1) + cast(i, ~(2 ^ (i - 1))) = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ cast(i, j) = bits2int(lastn(i→n(i), fillsgn(i→n(i), int2bits(j))))
Proof step 4:
0 < i ⊦ 2 ^ (i - 1) + bits2int(lastn(i→n(i), fillsgn(i→n(i), int2bits(~(2 ^ (i - 1)))))) = 0

Rule argument

name: cast-def rotate: F subst: [j, i] → [~(2 ^ (i - 1)), i]

Additional information

Used terms: ~(2 ^ (i - 1)), i