Theorems · Theorem · number theory
GenContFract.of_convergence_epsilon
∀ {K : Type u_1} (v : K) [inst : Field K] [inst_1 : LinearOrder K] [IsStrictOrderedRing K] [inst_3 : FloorRing K]
[Archimedean K], ∀ ε > 0, ∃ N, ∀ n ≥ N, |v - (GenContFract.of v).convs n| < ε- Cited by
- 1 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites39
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
- IsStrictOrderedRingstatement and proof · cited by 2,490
- le_reflproof · cited by 2,061
- Nat.cast_zeroproof · cited by 1,870
- absstatement and proof · cited by 1,814
- le_of_ltproof · cited by 1,175
- le_transproof · cited by 985
- add_le_addproof · cited by 666
- Archimedeanstatement and proof · cited by 603
- lt_of_le_of_ltproof · cited by 432
- sub_eq_zeroproof · cited by 407
Cited by1
Results whose statement or proof uses this declaration.
- GenContFract.of_convergenceproof · cited by 0