Theorems · Definition · field theory
Real.mk
CauSeq ℚ abs → ℝ
Make a real number from a Cauchy sequence of rationals (by taking the equivalence class).
- Defined in
- Mathlib.Data.Real.Basic
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- absstatement and proof · cited by 1,814
- CauSeqstatement and proof · cited by 189
- CauSeq.Completion.mkproof · cited by 24
Cited by19
Results whose statement or proof uses this declaration.
- Real.le_mk_of_forall_lestatement and proof · cited by 3
- Real.exists_isLUBproof · cited by 3
- Real.mk_ltstatement · cited by 3
- Real.mk_conststatement · cited by 2
- Real.mk_le_of_forall_lestatement · cited by 2
- Real.ratCast_ltproof · cited by 1
- Real.mk_near_of_forall_nearstatement · cited by 1
- Real.mk_negstatement · cited by 1
- Real.mk_zerostatement and proof · cited by 1
- Real.ind_mkstatement and proof · cited by 1
- Real.of_nearstatement and proof · cited by 0
- Real.mk_addstatement · cited by 0