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Proof step 11 from proof bor-2pot-plus (previous step)

0 < 2 ^ i, 0 ≤ j0, 0 ≤ i, j0 < 2 ^ i ⊦ bits2int(bitsinvert(bitsand(true ', bitsinvert(int2bits(j0))))) = j0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 12:
⊦ bits ≠ [] → bitsand(true ', bits) = bits

Rule argument

name: and-onel-01 rotate: F subst: [bits] → [bitsinvert(int2bits(j0))]

Additional information

Used simplifier rules: ⊦ bitsinvert(bitsinvert(bits)) = bits;% ⊦ bits2int(int2bits(i)) = i;% ⊦ bitsinvert(bits) = [] ↔ bits = [];% ⊦ int2bits(j) ≠ []; Used terms: bitsinvert(int2bits(j0))