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Proof step 8 from proof int2unit-inv-rest (previous step)

n→i(# uint2bits(i)) = i0 + 1, int2bits(i) = boolvar ' + bits, 0 < i, boolvar ∈ int2bits(i) ⊦ 2 ^ i0 = bits2uint(bitsinvert(bits)) + i + 1, bits ≠ [] ∧ bits.first

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ 0 ≤ i → int2bits(i) = uint2bits(i)
Proof step 10:
0 ≤ i, n→i(# uint2bits(i)) = i0 + 1, uint2bits(i) = boolvar ' + bits, 0 < i, boolvar ∈ uint2bits(i) ⊦ 2 ^ i0 = bits2uint(bitsinvert(bits)) + i + 1, bits ≠ [] ∧ bits.first

Rule argument

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

Additional information

Used simplifier rules: ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i < j → ¬ j < i; Used terms: i