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Proof step 65 from proof intshiftrsign-rec-pos (previous step)

# int2bits(i / 2) = 1, 0 ≤ i, i0 < 31, mklist(false, i→n(i0)).first, 0 < i, 1 < i, 0 < i0 ⊦ mklist(false, i→n(i0)) + int2bits(i / 2) = [], i0 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 66:
⊦ 0 ≤ i → int2bits(i) = uint2bits(i)
Proof step 67:
0 ≤ i / 2, # uint2bits(i / 2) = 1, 0 ≤ i, i0 < 31, mklist(false, i→n(i0)).first, 0 < i, 1 < i, 0 < i0 ⊦ mklist(false, i→n(i0)) + uint2bits(i / 2) = [], i0 = 0

Rule argument

seq: ⊦ 0 ≤ i → int2bits(i) = uint2bits(i) subst: [i] → [i / 2] rotate: F spec: int2bits inst: name: int2bits-pos

Additional information

Used simplifier rules: ⊦ 0 ≤ i / 2 ↔ ~1 ≤ i;%i0 ≠ 0, i0 ≤ i ⊦ (* i) ≤ j → (* i0) ≤ j; Used terms: i / 2