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Proof step 1 from proof int2bits-2pot-02 (conclusion)

0 ≤ i ⊦ int2bits(2 ^ i - 1) = false ' + mklist(true, i→n(i))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ 0 ≤ i → int2bits(i) = uint2bits(i)
Proof step 3:
0 ≤ 2 ^ i - 1, 0 ≤ i ⊦ uint2bits(2 ^ i - 1) = false ' + mklist(true, i→n(i))

Rule argument

name: int2bits-pos rotate: F subst: [i] → [2 ^ i - 1]

Additional information

Used simplifier rules: ⊦ i ≤ j - i0 ↔ i + i0 ≤ j;% ⊦ 1 ≤ i ↔ 0 < i;% ⊦ 0 < i → (0 < i ^ j ↔ i = 1 ∨ 0 ≤ j);% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i ≤ j → (¬ ¬ j < i ↔ false); Used terms: 2 ^ i - 1