Theorems · Theorem · field theory
Real.ext_cauchy_iff
∀ {x y : ℝ}, x = y ↔ x.cauchy = y.cauchy- Defined in
- Mathlib.Data.Real.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- CauSeq.Completion.Cauchystatement and proof · cited by 62
- Real.cauchystatement and proof · cited by 15
- Real.ofCauchy.injEqproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Real.mk_eqproof · cited by 0
- Real.ext_cauchyproof · cited by 0