Theorems · Theorem · general topology
Real.subfield_eq_of_closed
∀ {K : Subfield ℝ}, IsClosed ↑K → K = ⊤- Defined in
- Mathlib.Topology.Instances.Real.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Top.topstatement · cited by 9,680
- SetLike.coestatement and proof · cited by 8,199
- Set.rangeproof · cited by 4,705
- Set.univproof · cited by 3,945
- IsClosedstatement and proof · cited by 1,639
- Subfieldstatement and proof · cited by 303
- IsClosed.closure_eqproof · cited by 139
- SetLike.ext'_iffproof · cited by 78
- Dense.monoproof · cited by 43
- Dense.closure_eqproof · cited by 24
Cited by1
Results whose statement or proof uses this declaration.