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Proof step 6 from proof band-one-is-mod2 (previous step)

int2bits(1) = false ' + bits, 0 ≤ i, false ∈ bits, false ∈ int2bits(1) ⊦ band(i, 1) = 1 ↔ i % 2 = 1

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int2bits inst: name: int2bits-pos seq: ⊦ 0 ≤ i → int2bits(i) = uint2bits(i) subst: [i] → [1] flags: rewrite

Additional information

Used simplifier rules: uint2bits-one: ⊦ uint2bits(1) = false + true; from specification int2bits%Two: ⊦ boolvar + boolvar0 = boolvar ' + boolvar0 '; from specification list[bitlista]%app-01: ⊦ bits + bits0 = bits + bits1 ↔ bits0 = bits1; from specification list[bitlista]%a: ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1; from specification list[bitlista]%in-append: ⊦ boolvar ∈ bits + bits0 ↔ ¬ ¬(boolvar ∈ bits ∨ boolvar ∈ bits0); from specification list[bitlista]%in-17: ⊦ boolvar ∈ boolvar0 ' ↔ boolvar ↔ boolvar0; from specification list[bitlista] Used terms: 1