Theorems · Theorem · number theory

GenContFract.IntFractPair.stream_eq_none_of_fr_eq_zero

∀ {K : Type u_1} [inst : DivisionRing K] [inst_1 : LinearOrder K] [inst_2 : FloorRing K] {v : K} {n : ℕ}
  {ifp_n : GenContFract.IntFractPair K},
  GenContFract.IntFractPair.stream v n = some ifp_n → ifp_n.fr = 0 → GenContFract.IntFractPair.stream v (n + 1) = none

Defined in: Mathlib.Algebra.ContinuedFractions.Computation.Translations
Cited by: 2 results in Mathlib
Foundations: Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: DivisionRing LinearOrder FloorRing

Mathlib docs Source Loogle LeanSearch

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.

LinearOrderstatement and proof · cited by 8,572
DivisionRingstatement and proof · cited by 1,062
FloorRingstatement and proof · cited by 405
GenContFract.IntFractPairstatement and proof · cited by 45
GenContFract.IntFractPair.streamstatement and proof · cited by 37
GenContFract.IntFractPair.frstatement and proof · cited by 25

Cited by2

Results whose statement or proof uses this declaration.

GenContFract.IntFractPair.stream_succproof · cited by 1
GenContFract.IntFractPair.stream_succ_of_intproof · cited by 1