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Proof step 22 from proof bint-is-cast (previous step)

32 < # int2bits(i) ⊦ bi2i(i2bi(cast(32, i))) = cast(32, i), cast(32, i) ∈bint, i ∈bint

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 23:
⊦ i ∈bint ↔ ~2147483648 ≤ i ∧ i ≤ 2147483647
Proof step 24:
32 < # int2bits(i) ⊦ bi2i(i2bi(cast(32, i))) = cast(32, i), ~2147483648 ≤ cast(32, i) ∧ cast(32, i) ≤ 2147483647, i ∈bint

Rule argument

name: inbint rotate: F subst: [i] → [cast(32, i)]

Additional information

Used terms: cast(32, i)