Theorems · Theorem · field theory
Subfield.toSubring_subtype_eq_subtype
∀ (K : Type u) [inst : DivisionRing K] (S : Subfield K), S.subtype = S.subtype
- Defined in
- Mathlib.Algebra.Field.Subfield.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHomstatement · cited by 10,189
- DivisionRingstatement and proof · cited by 1,062
- Subringstatement · cited by 602
- Subfieldstatement and proof · cited by 303
- Subfield.toSubringstatement · cited by 23
- Subring.subtypestatement · cited by 22
- Subfield.subtypestatement · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- FixedPoints.minpoly.of_eval₂proof · cited by 1