Theorems · Definition · field theory
Subfield.inclusion
{K : Type u} → [inst : DivisionRing K] → {S T : Subfield K} → S ≤ T → ↥S →+* ↥TThe ring homomorphism associated to an inclusion of subfields.
- Defined in
- Mathlib.Algebra.Field.Subfield.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 57 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.
Cites5
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
- Subfieldstatement and proof · cited by 303
- Subfield.subtypeproof · cited by 16
- RingHom.codRestrictproof · cited by 12
Cited by4
Results whose statement or proof uses this declaration.
- Subfield.relrank_mul_relrankproof · cited by 3
- Subfield.relrank_mul_rank_topproof · cited by 3
- Complex.uniformContinuous_ringHom_eq_id_or_conjproof · cited by 1
- NumberField.isTotallyReal_iff_le_maximalRealSubfieldproof · cited by 1