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Proof step 5 from proof longin-mod (previous step)

i ∈long ⊦ j = 0, ¬ i % j < ~9223372036854775808 ∧ ¬ 9223372036854775807 < i % j

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ i ∈long ↔ ~(2 ^ 63) ≤ i ∧ i ≤ 2 ^ 63 - 1

Rule argument

spec: inst: name: inlong seq: ⊦ i ∈long ↔ ~(2 ^ 63) ≤ i ∧ i ≤ 2 ^ 63 - 1 subst: [i] → [i] flags: rewrite, current

Additional information

Used simplifier rules: mod-nls-02: ⊦ i0 ≤ i ∧ i0 < 0 ∧ j ≠ 0 → ¬ i % j < i0; from specification int-div%mod-nls-03: ⊦ i ≤ i0 ∧ 0 ≤ i0 ∧ j ≠ 0 → ¬ i0 < i % j; from specification int-div Used terms: i