Theorems · Definition · field theory
IntermediateField.toSubalgebra
{K : Type u_1} →
{L : Type u_2} →
[inst : Field K] → [inst_1 : Field L] → [inst_2 : Algebra K L] → IntermediateField K L → Subalgebra K LReinterpret an IntermediateField as a Subalgebra.
- Cited by
- 134 results in Mathlib
- Foundations
- Depth 46 from the axioms, rests on 391 definitions · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Subalgebrastatement · cited by 1,353
- IntermediateFieldstatement and proof · cited by 988
Cited by152
Results whose statement or proof uses this declaration.
- IntermediateField.LinearDisjointproof · cited by 82
- IntermediateField.restrictScalarsproof · cited by 66
- IntermediateField.mapproof · cited by 62
- IntermediateField.valproof · cited by 42
- IntermediateField.toSubfieldproof · cited by 38
- IntermediateField.comapproof · cited by 25
- IntermediateField.linearDisjoint_iff'statement and proof · cited by 19
- IntermediateField.botEquivproof · cited by 14
- IntermediateField.equivOfEqproof · cited by 13
- IsCyclotomicExtension.isGaloisproof · cited by 13
- IntermediateField.toSubalgebra_injectivestatement and proof · cited by 11
- IntermediateField.adjoin_toSubalgebra_of_isAlgebraicstatement · cited by 10