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Proof step 28 from proof int2bits-rec-neg (previous step)

i < 0 ⊦ i = 0, sgn(bitsinvert(uint2bits(1 - i)) +1 + true ') = sgn(bitsinvert(uint2bits(1 - i)) +1) + true ', false ∈ bitsinvert(uint2bits(1 - i)) +1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 29:
⊦ 1 < i → false ∈ bitsinvert(uint2bits(i)) +1

Rule argument

name: uint2bits-falsein rotate: F subst: [i] → [1 - i]

Additional information

Used simplifier rules: ⊦ i < j - i0 ↔ i + i0 < j;% ⊦ i + (* j) < (* j0) ↔ i < j0 - j;% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i ≠ j → (i ≤ j ↔ i < j);% ⊦ i < j → ¬ j < i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i; Used terms: 1 - i