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Proof step 6 from proof int2bits-pred-intro (previous step)

0 < j, 0 ≤ j, 0 < j ⊦ sgn(false ' + uint2bits(j - 1) +1) = sgn(false ' + int2bits(j - 1) +1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ 0 ≤ i → int2bits(i) = uint2bits(i)

Rule argument

name: int2bits-pos rotate: F subst: [i] → [j - 1]

Additional information

Used simplifier rules: ⊦ i ≤ j - i0 ↔ i + i0 ≤ j;% ⊦ 1 ≤ i ↔ 0 < i;% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i ≤ j → (j ≤ i ↔ i = j);% ⊦ i < j ∧ i = i0 → i0 < j; (forward)% ⊦ i < j ∧ j = i0 → i < i0; (forward) Used terms: j - 1