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

i ∈long ⊦ i = cast(64, i), ¬ i < ~9223372036854775808 ∧ ¬ 9223372036854775808 ≤ i

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ i ∈long ↔ ~(2 ^ 63) ≤ i ∧ i ≤ 2 ^ 63 - 1

Rule argument

name: inlong rotate: F subst: [i] → [i]

Additional information

Used simplifier rules: ⊦ i ≤ j → (¬ ¬ j < i ↔ false);%i0 ≠ 0, i0 ≤ i ⊦ (* i) ≤ j → (* i0) ≤ j;% ⊦ j ≤ j0 ∧ j0 ≤ j1 → j ≤ j1; (forward)% ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward)% ⊦ i ≤ j ∧ 0 < i → 0 < j; (forward) Used terms: i