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Proof step 26 from proof bint-is-cast (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
cast(32, i) < ~2147483648, 32 < # int2bits(i), cast(32, i) < 0 ⊦ bi2i(i2bi(cast(32, i))) = cast(32, i), i ∈bint

Rule argument

Additional information

Used simplifier rules: ⊦ i < (* j) ∧ j < 0 → i < 0; (forward)