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Proof step 7 from proof int2int-lastn-pospos (previous step)

int2bits(i) = lastn(# int2bits(i), int2bits(i)), 0 < i ⊦ i = i % 2 ^ n→i(# int2bits(i))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
0 < j, 0 ≤ i, i < j ⊦ i % j = i
Proof step 9:
¬(0 < 2 ^ n→i(# int2bits(i)) ∧ 0 ≤ i ∧ i < 2 ^ n→i(# int2bits(i))), int2bits(i) = lastn(# int2bits(i), int2bits(i)), 0 < i ⊦ i = i % 2 ^ n→i(# int2bits(i))

Rule argument

seq: 0 < j, 0 ≤ i, i < j ⊦ i % j = i subst: [j, i] → [2 ^ n→i(# int2bits(i)), i] rotate: F spec: int-div inst: name: mod-zero-03

Additional information

Used terms: 2 ^ n→i(# int2bits(i)), i