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Proof step 23 from proof bor-2pot-plus (previous step)

0 ≤ j, 0 < j ⊦ bits2int(bitsinvert(bitsand(true ', bitsinvert(uint2bits(j))))) = j

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 24:
⊦ bits ≠ [] → bitsand(true ', bits) = bits
Proof step 25:
bitsinvert(uint2bits(j)) ≠ [], 0 ≤ j, 0 < j ⊦ bits2int(bitsinvert(bitsinvert(uint2bits(j)))) = j

Rule argument

name: and-onel-01 rotate: F subst: [bits] → [bitsinvert(uint2bits(j))]

Additional information

Used simplifier rules: ⊦ bitsinvert(bits) = [] ↔ bits = [];%0 ≤ i ⊦ uint2bits(i) ≠ []; Used terms: bitsinvert(uint2bits(j))