Theorems · Theorem · field theory
Field.sepDegree_eq_of_equiv
∀ (F : Type u) (E : Type v) [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] (K : Type v) [inst_3 : Field K] [inst_4 : Algebra F K] (i : E ≃ₐ[F] K), Field.sepDegree F E = Field.sepDegree F K
The same-universe version of Field.lift_sepDegree_eq_of_equiv.
- Defined in
- Mathlib.FieldTheory.SeparableClosure
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Cardinalstatement · cited by 2,598
- AlgEquivstatement and proof · cited by 1,681
- AlgEquiv.toLinearEquivproof · cited by 117
- LinearEquiv.rank_eqproof · cited by 31
- Field.sepDegreestatement · cited by 24
- AlgEquiv.separableClosureproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- IntermediateField.sepDegree_bot'proof · cited by 0
- IntermediateField.sepDegree_topproof · cited by 0