Theorems · Theorem · number theory
GenContFract.exists_rat_eq_nth_num
∀ {K : Type u_1} [inst : Field K] [inst_1 : LinearOrder K] [inst_2 : FloorRing K] (v : K) (n : ℕ),
∃ q, (GenContFract.of v).nums n = ↑q- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldLinearOrderFloorRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Fieldstatement and proof · cited by 7,404
- FloorRingstatement and proof · cited by 405
- GenContFract.Pairproof · cited by 85
- GenContFract.ofstatement and proof · cited by 53
- GenContFract.Pair.aproof · cited by 43
- GenContFract.contsproof · cited by 18
- GenContFract.numsstatement · cited by 12
- GenContFract.Pair.mapproof · cited by 7
- GenContFract.Pair.casesOnproof · cited by 4
- GenContFract.exists_gcf_pair_rat_eq_nth_contsproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- GenContFract.exists_rat_eq_nth_convproof · cited by 1