[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 41 from proof bitsor-bi-zeroes (previous step)

# bits0 = # bits2 ⊦ bits2 = [], bits0 = [], bits2uint(bits + bitsor(bits0, bits2) + bits1) = bits2uint(bits2 + bits1), bits = [], true ∈ bits0, true ∈ bits

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 42:
⊦ ¬ true ∈ bits → bits2uint(bits + bits0) = bits2uint(bits0)
Proof step 43:
¬ true ∈ bits, # bits0 = # bits2 ⊦ bits2 = [], bits0 = [], bits2uint(bitsor(bits0, bits2) + bits1) = bits2uint(bits2 + bits1), bits = [], true ∈ bits0, true ∈ bits

Rule argument

seq: ⊦ ¬ true ∈ bits → bits2uint(bits + bits0) = bits2uint(bits0) subst: [bits0, bits] → [bitsor(bits0, bits2) + bits1, bits] rotate: F spec: int2bits inst: name: bits2uint-zeros-02

Additional information

Used terms: bitsor(bits0, bits2) + bits1, bits