Theorems · Definition · number theory
SimpContFract.IsContFract
{α : Type u_1} → [inst : One α] → [Zero α] → [LT α] → SimpContFract α → PropA simple continued fraction is a (regular) continued fraction ((r)cf) if all partial denominators
bᵢ are positive, i.e. 0 < bᵢ.
- Defined in
- Mathlib.Algebra.ContinuedFractions.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Stream'.Seq.get?proof · cited by 122
- GenContFract.partDensproof · cited by 13
- SimpContFractstatement and proof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- ContFractproof · cited by 1
- ContFract.convs_eq_convs'statement · cited by 1
- SimpContFract.of_isContFractstatement · cited by 0