Theorems · Theorem · field theory
Subfield.le_topologicalClosure
∀ {α : Type u_2} [inst : Field α] [inst_1 : TopologicalSpace α] [inst_2 : IsTopologicalDivisionRing α] (s : Subfield α),
s ≤ s.topologicalClosure- Defined in
- Mathlib.Topology.Algebra.Field
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Fieldstatement and proof · cited by 7,404
- subset_closureproof · cited by 309
- Subfieldstatement and proof · cited by 303
- IsTopologicalDivisionRingstatement and proof · cited by 8
- Subfield.topologicalClosurestatement · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Complex.uniformContinuous_ringHom_eq_id_or_conjproof · cited by 1