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Proof step 30 from proof bint-is-cast (previous step)

0 < cast(32, i), 32 < # int2bits(i), 2147483647 < cast(32, i) ⊦ bi2i(i2bi(cast(32, i))) = cast(32, i), i ∈bint

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ 2 ^ (i - 1) - 1 ≤ j0 ∧ 0 < i → ¬ j0 < cast(i, j) subst: [j, i, j0] → [i, 32, 2147483647] rotate: F spec: intops inst: name: cast-nls-01

Additional information

Used terms: i, 32, 2147483647