Theorems · Definition · number theory
GenContFract.conts
{K : Type u_2} → [DivisionRing K] → GenContFract K → Stream' (GenContFract.Pair K)Returns the continuants ⟨Aₙ, Bₙ⟩ of g.
- Defined in
- Mathlib.Algebra.ContinuedFractions.Basic
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 49 from the axioms · uses propext, Quot.sound
- Assumes
- DivisionRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- GenContFract.Pairstatement · cited by 85
- GenContFractstatement and proof · cited by 68
- Stream'.tailproof · cited by 68
- GenContFract.contsAuxproof · cited by 20
Cited by20
Results whose statement or proof uses this declaration.
- GenContFract.densproof · cited by 19
- GenContFract.numsproof · cited by 12
- GenContFract.nth_cont_eq_succ_nth_contAuxstatement · cited by 5
- GenContFract.den_eq_conts_bstatement · cited by 4
- GenContFract.dens_stable_of_terminatedproof · cited by 3
- GenContFract.first_cont_eqstatement · cited by 2
- GenContFract.nums_stable_of_terminatedproof · cited by 2
- GenContFract.conts_recurrencestatement and proof · cited by 2
- GenContFract.conts_stable_of_terminatedstatement · cited by 2
- GenContFract.exists_gcf_pair_rat_eq_nth_contsstatement · cited by 2
- GenContFract.num_eq_conts_astatement · cited by 1
- GenContFract.conts_recurrenceAuxstatement · cited by 1