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Proof step 5 from proof num-i2l-pos (previous step)

0 < i, 9223372036854775807 < i ⊦ i2l(cast(64, i)) = i2l(bits2int(lastn(64, int2bits(i))))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ n < # int2bits(i) → bits2int(lastn(n, int2bits(i))) = cast(n→i(n), i)
Proof step 7:
¬ 64 < # int2bits(i), 0 < i, 9223372036854775807 < i ⊦ i2l(cast(64, i)) = i2l(bits2int(lastn(64, int2bits(i))))

Rule argument

seq: ⊦ n < # int2bits(i) → bits2int(lastn(n, int2bits(i))) = cast(n→i(n), i) subst: [i, n] → [i, 64] rotate: F spec: intops inst: name: bits2int-is-cast

Additional information

Used terms: i, 64