Theorems · Theorem · field theory
Real.mk_near_of_forall_near
∀ {f : CauSeq ℚ abs} {x ε : ℝ}, (∃ i, ∀ j ≥ i, |↑(↑f j) - x| ≤ ε) → |Real.mk f - x| ≤ ε- Defined in
- Mathlib.Data.Real.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- absstatement and proof · cited by 1,814
- CauSeqstatement and proof · cited by 189
- IsCauSeqstatement · cited by 91
- sub_le_iff_le_add'proof · cited by 41
- abs_sub_le_iffproof · cited by 34
- Real.mkstatement · cited by 19
- sub_le_commproof · cited by 19
- Real.le_mk_of_forall_leproof · cited by 3
- Real.mk_le_of_forall_leproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Real.of_nearproof · cited by 0