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Proof step 2 from proof cast-size-fits-01 (previous step)

j < 2 ^ (i - 1), 0 < i, 0 ≤ 2 ^ (i - 1) + j ⊦ cast(i, j) = j

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ n→i(# int2bits(j)) ≤ i → cast(i, j) = j
Proof step 4:
¬ n→i(# int2bits(j)) ≤ i, j < 2 ^ (i - 1), 0 < i, 0 ≤ 2 ^ (i - 1) + j ⊦ cast(i, j) = j

Rule argument

name: cast-size-fits rotate: F subst: [j, i] → [j, i]

Additional information

Used terms: j, i