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Theorems · Theorem · number theory

GenContFract.exists_gcf_pair_rat_eq_nth_conts

∀ {K : Type u_1} [inst : Field K] [inst_1 : LinearOrder K] [inst_2 : FloorRing K] (v : K) (n : ℕ),
  ∃ conts, (GenContFract.of v).conts n = GenContFract.Pair.map Rat.cast conts
Defined in
Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat
Cited by
2 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldLinearOrderFloorRing
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

GenContFract.exists_rat_eq_nth_den · cited by 1GenContFract.exists_rat_e…GenContFract.exists_rat_eq_nth_num · cited by 1GenContFract.exists_rat_e…LinearOrder · cited by 8572LinearOrderField · cited by 7404FieldFloorRing · cited by 405FloorRingGenContFract.Pair · cited by 85GenContFract.PairGenContFract.of · cited by 53GenContFract.ofGenContFract.conts · cited by 18GenContFract.contsGenContFract.Pair.map · cited by 7Pair.mapGenContFract.nth_cont_eq_succ_nth_contAux · cited by 5GenContFract.nth_cont_eq_…GenContFract.exists_gcf_pair_rat_eq_of_nth_contsAux · cited by 1GenContFract.exists_gcf_p…GenContFract.exists_gcf_pair_…CITED BYCITES

Cites9

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Cited by2

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