Theorems · Definition · number theory
GenContFract.convs
{K : Type u_2} → [DivisionRing K] → GenContFract K → Stream' KReturns the convergents Aₙ / Bₙ of g, where Aₙ, Bₙ are the nth continuants of g.
- Defined in
- Mathlib.Algebra.ContinuedFractions.Basic
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Quot.sound
- Assumes
- DivisionRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DivisionRingstatement and proof · cited by 1,062
- Stream'statement · cited by 205
- GenContFractstatement and proof · cited by 68
- GenContFract.densproof · cited by 19
- GenContFract.numsproof · cited by 12
Cited by22
Results whose statement or proof uses this declaration.
- GenContFract.convs_stable_of_terminatedstatement · cited by 4
- GenContFract.of_correctness_of_terminatedAtstatement · cited by 3
- GenContFract.abs_sub_convs_lestatement · cited by 2
- GenContFract.zeroth_conv_eq_hstatement · cited by 2
- GenContFract.succ_nth_conv_eq_squashGCF_nth_convstatement and proof · cited by 1
- Real.convs_eq_convergentstatement and proof · cited by 1
- GenContFract.of_convergence_epsilonstatement and proof · cited by 1
- GenContFract.of_convs_eq_convs'statement · cited by 1
- GenContFract.of_correctness_of_nth_stream_eq_nonestatement and proof · cited by 1
- ContFract.convs_eq_convs'statement · cited by 1
- GenContFract.of_correctness_of_terminatesstatement · cited by 1
- GenContFract.conv_eq_conts_a_div_conts_bstatement · cited by 1