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Proof step 7 from proof bint-is-cast (previous step)

⊦ bi2i(i2bi(bits2int(lastn(32, int2bits(i))))) = cast(32, i), i ∈bint

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ n < # int2bits(i) → bits2int(lastn(n, int2bits(i))) = cast(n→i(n), i)
Proof step 9:
¬ 32 < # int2bits(i) ⊦ bi2i(i2bi(bits2int(lastn(32, int2bits(i))))) = cast(32, i), i ∈bint
Proof step 18:
32 < # int2bits(i) ⊦ bi2i(i2bi(cast(n→i(32), i))) = cast(32, i), i ∈bint

Rule argument

seq: ⊦ n < # int2bits(i) → bits2int(lastn(n, int2bits(i))) = cast(n→i(n), i) subst: [i, n] → [i, 32] rotate: F spec: intops inst: name: bits2int-is-cast

Additional information

Used terms: i, 32