Theorems · Definition · field theory
PowerBasis.equivAdjoinSimple
{K : Type u_1} →
{L : Type u_2} →
[inst : Field K] → [inst_1 : Field L] → [inst_2 : Algebra K L] → (pb : PowerBasis K L) → ↥K⟮pb.gen⟯ ≃ₐ[K] Lpb.equivAdjoinSimple is the equivalence between K⟮pb.gen⟯ and L itself.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 135 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- AlgEquivstatement · cited by 1,681
- IntermediateFieldstatement · cited by 988
- IntermediateField.adjoinstatement · cited by 382
- PowerBasis.genstatement · cited by 122
- PowerBasisstatement and proof · cited by 115
- IntermediateField.adjoin.powerBasisproof · cited by 17
- PowerBasis.equivOfMinpolyproof · cited by 8
Cited by4
Results whose statement or proof uses this declaration.
- PowerBasis.equivAdjoinSimple_symm_aevalstatement · cited by 0
- PowerBasis.equivAdjoinSimple_symm_genstatement · cited by 0
- PowerBasis.equivAdjoinSimple_aevalstatement · cited by 0
- PowerBasis.equivAdjoinSimple_genstatement · cited by 0