Theorems · Definition · number theory
GenContFract.contsAux
{K : Type u_2} → [DivisionRing K] → GenContFract K → Stream' (GenContFract.Pair K)Returns the continuants ⟨Aₙ₋₁, Bₙ₋₁⟩ of g.
- Defined in
- Mathlib.Algebra.ContinuedFractions.Basic
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Quot.sound
- Assumes
- DivisionRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
Cited by21
Results whose statement or proof uses this declaration.
- GenContFract.contsproof · cited by 18
- GenContFract.contsAux_recurrencestatement and proof · cited by 8
- GenContFract.nth_cont_eq_succ_nth_contAuxstatement · cited by 5
- GenContFract.fib_le_of_contsAux_bstatement and proof · cited by 4
- GenContFract.abs_sub_convs_leproof · cited by 2
- GenContFract.compExactValue_correctness_of_stream_eq_somestatement and proof · cited by 2
- GenContFract.contsAux_stable_of_terminatedstatement and proof · cited by 2
- GenContFract.contsAux_stable_step_of_terminatedstatement and proof · cited by 2
- GenContFract.conts_stable_of_terminatedproof · cited by 2
- GenContFract.first_contAux_eq_h_onestatement · cited by 1
- GenContFract.succ_nth_conv_eq_squashGCF_nth_convproof · cited by 1
- GenContFract.le_of_succ_succ_get?_contsAux_bstatement and proof · cited by 1