Theorems · Definition · field theory
RingHom.rangeRestrictFieldEquiv
{K : Type u} → {L : Type v} → [inst : DivisionRing K] → [inst_1 : DivisionRing L] → (f : K →+* L) → K ≃+* ↥f.fieldRangeRingHom.rangeRestrictField as a RingEquiv.
- Defined in
- Mathlib.Algebra.Field.Subfield.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRingDivisionRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHomstatement and proof · cited by 10,189
- RingEquivstatement · cited by 1,147
- DivisionRingstatement and proof · cited by 1,062
- Subfieldstatement · cited by 303
- RingHom.fieldRangestatement · cited by 40
- RingEquiv.ofBijectiveproof · cited by 24
- RingHom.rangeRestrictFieldproof · cited by 4
- RingHom.rangeRestrictField_bijectiveproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- NumberField.CMExtension.equivMaximalRealSubfieldproof · cited by 3
- RingHom.rangeRestrictFieldEquiv_apply_coestatement and proof · cited by 1
- RingHom.rangeRestrictFieldEquiv_apply_symm_applystatement and proof · cited by 0