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Theorems · Theorem · number theory

GenContFract.coe_of_s_rat_eq

∀ {K : Type u_1} [inst : Field K] [inst_1 : LinearOrder K] [inst_2 : FloorRing K] [IsStrictOrderedRing K] {v : K}
  {q : ℚ}, v = ↑q → Stream'.Seq.map (GenContFract.Pair.map Rat.cast) (GenContFract.of q).s = (GenContFract.of v).s
Defined in
Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat
Cited by
1 results in Mathlib
Foundations
Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldLinearOrderFloorRingIsStrictOrderedRing
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Around this declaration

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

GenContFract.coe_of_rat_eq · cited by 0GenContFract.coe_of_rat_eqLinearOrder · cited by 8572LinearOrderField · cited by 7404FieldIsStrictOrderedRing · cited by 2490IsStrictOrderedRingFloorRing · cited by 405FloorRingStream'.Seq · cited by 226Stream'.SeqStream'.Seq.get? · cited by 122Seq.get?GenContFract.Pair · cited by 85GenContFract.PairGenContFract.s · cited by 57GenContFract.sGenContFract.of · cited by 53GenContFract.ofStream'.Seq.map · cited by 39Seq.mapStream'.Seq.ext · cited by 20Seq.extGenContFract.Pair.map · cited by 7Pair.mapGenContFract.coe_of_s_get?_rat_eq · cited by 1GenContFract.coe_of_s_get…GenContFract.coe_of_s_rat_eqCITED BYCITES

Cites13

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Cited by1

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