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Proof step 25 from proof bint-is-cast (previous step)

32 < # int2bits(i) ⊦ bi2i(i2bi(cast(32, i))) = cast(32, i), i ∈bint, ¬ cast(32, i) < ~2147483648 ∧ ¬ 2147483647 < cast(32, i)

User applied rule case distinction

And obtained the following new goals

Proof step 26:
32 < # int2bits(i) ⊦ ¬ cast(32, i) < ~2147483648, bi2i(i2bi(cast(32, i))) = cast(32, i), i ∈bint
Proof step 29:
32 < # int2bits(i) ⊦ ¬ 2147483647 < cast(32, i), bi2i(i2bi(cast(32, i))) = cast(32, i), i ∈bint

Rule argument

pos: right 3

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