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Proof step 1 from proof bint-band-one (conclusion)

⊦ band(j, 1) ∈bint

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: inst: name: bint-num-04 seq: ~2147483648 ≤ i, i < 2147483648 ⊦ (* i) ∈bint subst: [i] → [band(j, 1)] flags: rewrite, current

Additional information

Used simplifier rules: bint-num-02: j ≤ ~2147483648 ⊦ i < (* j) → ¬ i ∈bint;%lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs%lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs%band-max-05: ⊦ 0 ≤ i ∧ i < i0 → ¬ i0 ≤ band(i, j); from specification intops%band-associativity: ⊦ band(i, band(i0, j)) = band(band(i, i0), j); from specification intops%band-commutativity: ⊦ band(i, j) = band(j, i); from specification intops%numlsf: ⊦ i < (* j) ∧ j < 0 → i < 0; (forward) from specification int-basic1%band-notneg: ⊦ 0 ≤ i → ¬ band(i, j) < 0; from specification intops Used terms: band(j, 1)