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Proof step 13 from proof bint-is-cast (previous step)

# int2bits(i) ≤ 32 ⊦ bi2i(i2bi(bits2int(lastn(32, int2bits(i))))) = cast(32, i), ¬ i < ~2147483648 ∧ ¬ 2147483647 < i

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ 0 < i → (# int2bits(i) ≤ m ↔ i < 2 ^ (n→i(m) - 1)) subst: [m, i] → [32, i] rotate: F spec: int2bits inst: name: int2bits-lelen

Additional information

Used simplifier rules: i + 1 = i0 ⊦ j < (* i0) → ¬ (* i) < j;% ⊦ i < j ∧ ¬ i0 < j → ¬ i0 < i; Used terms: 32, i