Theorems · Theorem · field theory
Subfield.topologicalClosure_minimal
∀ {α : Type u_2} [inst : Field α] [inst_1 : TopologicalSpace α] [inst_2 : IsTopologicalDivisionRing α] (s : Subfield α)
{t : Subfield α}, s ≤ t → IsClosed ↑t → s.topologicalClosure ≤ t- Defined in
- Mathlib.Topology.Algebra.Field
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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
- SetLike.coestatement and proof · cited by 8,199
- Fieldstatement and proof · cited by 7,404
- IsClosedstatement and proof · cited by 1,639
- Subfieldstatement and proof · cited by 303
- closure_minimalproof · cited by 94
- IsTopologicalDivisionRingstatement and proof · cited by 8
- Subfield.topologicalClosurestatement · cited by 5
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