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Proof step 13 from proof long-is-cast (previous step)

# int2bits(i) ≤ 64 ⊦ l2i(i2l(bits2int(lastn(64, int2bits(i))))) = cast(64, i), i ∈long

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ i ∈long ↔ ~(2 ^ 63) ≤ i ∧ i ≤ 2 ^ 63 - 1
Proof step 15:
# int2bits(i) ≤ 64 ⊦ l2i(i2l(bits2int(lastn(64, int2bits(i))))) = cast(64, i), ~(2 ^ 63) ≤ i ∧ i ≤ 2 ^ 63 - 1

Rule argument

name: inlong rotate: F subst: [i] → [i]

Additional information

Used terms: i