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Proof step 7 from proof uint2bits-falsein (previous step)

bitsinvert(uint2bits(i)) = bits + false ', 0 ≤ i, 0 < i, 1 < i ⊦ false ∈ bits

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ bits = bits0 ↔ bitsinvert(bits) = bitsinvert(bits0)
Proof step 9:
bitsinvert(bitsinvert(uint2bits(i))) = bitsinvert(bits + false '), 0 ≤ i, 0 < i, 1 < i ⊦ false ∈ bits

Rule argument

seq: ⊦ bits = bits0 ↔ bitsinvert(bits) = bitsinvert(bits0) subst: [bits0, bits] → [bits + false ', bitsinvert(uint2bits(i))] rotate: F spec: bitopsaux inst: name: inv-intro

Additional information

Used terms: bits + false ', bitsinvert(uint2bits(i))