Theorems · Theorem · field theory
RingHom.coe_rangeRestrictField
∀ {K : Type u} {L : Type v} [inst : DivisionRing K] [inst_1 : DivisionRing L] (f : K →+* L) (x : K),
↑(f.rangeRestrictField x) = f x- 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
- DivisionRingDivisionRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHomstatement and proof · cited by 10,189
- DivisionRingstatement and proof · cited by 1,062
- Subfieldstatement · cited by 303
- RingHom.fieldRangestatement · cited by 40
- RingHom.rangeRestrictFieldstatement · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Complex.uniformContinuous_ringHom_eq_id_or_conjproof · cited by 1