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Proof step 30 from proof long-is-cast (
previous step
)
0 < cast(64, i), 64 < # int2bits(i), 9223372036854775807 < cast(64, i) ⊦ l2i(i2l(cast(64, i))) = cast(64, i), i ∈long
User applied rule insert rewrite lemma
And obtained the following new goals
Proof step 31
:
⊦ 2 ^ (i - 1) - 1 ≤ j0 ∧ 0 < i → ¬ j0 < cast(i, j)
Rule argument
seq: ⊦ 2 ^ (i - 1) - 1 ≤ j0 ∧ 0 < i → ¬ j0 < cast(i, j) subst: [j, i, j0] → [i, 64, 9223372036854775807] rotate: F spec: intops inst: name: cast-nls-01
Additional information
Used terms: i, 64, 9223372036854775807