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Proof step 21 from proof int2int-inj (previous step)

uint2bits(~ i) = false ' + true ' + bits, i < 0 ⊦ bits2uint(true ' + bits) + i = 0, true ∈ bits

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 22:
⊦ ¬ true ∈ bits → bits2uint(true ' + bits) = 2 ^ n→i(# bits)
Proof step 23:
¬ true ∈ bits, uint2bits(~ i) = false ' + true ' + bits, i < 0 ⊦ 2 ^ n→i(# bits) + i = 0, true ∈ bits

Rule argument

name: bits2uint-2pot rotate: F subst: [bits] → [bits]

Additional information

Used terms: bits