Theorems · Theorem · field theory
Subfield.fieldRange_subtype
∀ {K : Type u} [inst : DivisionRing K] (s : Subfield K), s.subtype.fieldRange = s- Defined in
- Mathlib.Algebra.Field.Subfield.Basic
- 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.
- DivisionRingstatement and proof · cited by 1,062
- Subfieldstatement and proof · cited by 303
- Subtype.range_coeproof · cited by 98
- SetLike.ext'proof · cited by 60
- RingHom.fieldRangestatement · cited by 40
- Subfield.subtypestatement and proof · cited by 16
- RingHom.coe_rangeSproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Subfield.relrank_eq_one_iffproof · cited by 3