Theorems · Theorem · field theory
Subfield.closure_eq_of_le
∀ {K : Type u} [inst : DivisionRing K] {s : Set K} {t : Subfield K},
s ⊆ ↑t → t ≤ Subfield.closure s → Subfield.closure s = t- Defined in
- Mathlib.Algebra.Field.Subfield.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRing
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- SetLike.coestatement and proof · cited by 8,199
- le_antisymmproof · cited by 2,068
- DivisionRingstatement and proof · cited by 1,062
- Subfieldstatement and proof · cited by 303
- Subfield.closurestatement and proof · cited by 39
- Subfield.closure_leproof · cited by 8
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