Theorems · Theorem · number theory
SimpContFract.determinant
∀ {K : Type u_1} [inst : Field K] {s : SimpContFract K} {n : ℕ},
¬(↑s).TerminatedAt n → (↑s).nums n * (↑s).dens (n + 1) - (↑s).dens n * (↑s).nums (n + 1) = (-1) ^ (n + 1)The determinant formula Aₙ * Bₙ₊₁ - Bₙ * Aₙ₊₁ = (-1) ^ (n + 1) for SimpContFract.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Stream'.Seq.get?proof · cited by 122
- Finset.card_rangeproof · cited by 108
- GenContFract.Pairproof · cited by 85
- GenContFractstatement · cited by 68
- GenContFract.sproof · cited by 57
- GenContFract.Pair.aproof · cited by 43
- GenContFract.TerminatedAtstatement and proof · cited by 30
Cited by1
Results whose statement or proof uses this declaration.
- GenContFract.sub_convs_eqproof · cited by 0