Theorems · Theorem · field theory
Subfield.subring_closure_le
∀ {K : Type u} [inst : DivisionRing K] (s : Set K), Subring.closure s ≤ (Subfield.closure s).toSubring- Defined in
- Mathlib.Algebra.Field.Subfield.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRing
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Cites8
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
- DivisionRingstatement and proof · cited by 1,062
- Subringstatement · cited by 602
- Subring.closurestatement · cited by 78
- Subfield.closurestatement · cited by 39
- Subfield.toSubringstatement · cited by 23
- Subfield.subset_closureproof · cited by 15
- Subring.closure_leproof · cited by 14
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