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Proof step 73 from proof bits2int-pos (previous step)

# bits0 ≤ 7 ⊦ 0 ≤ b2i(i2b(bits2int(boolvar ' + bits0))) ↔ ¬ boolvar

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 74:
~128 ≤ i, i ≤ 127 ⊦ b2i(i2b((* i))) = i
Proof step 75:
¬(~128 ≤ bits2int(boolvar ' + bits0) ∧ bits2int(boolvar ' + bits0) ≤ 127), # bits0 ≤ 7 ⊦ 0 ≤ b2i(i2b(bits2int(boolvar ' + bits0))) ↔ ¬ boolvar
Proof step 83:
~128 ≤ bits2int(boolvar ' + bits0) ∧ bits2int(boolvar ' + bits0) ≤ 127, # bits0 ≤ 7 ⊦ 0 ≤ bits2int(boolvar ' + bits0) ↔ ¬ boolvar

Rule argument

seq: ~128 ≤ i, i ≤ 127 ⊦ b2i(i2b((* i))) = i subst: [i] → [bits2int(boolvar ' + bits0)] rotate: F spec: byte inst: name: num-ibbi

Additional information

Used terms: bits2int(boolvar ' + bits0)