Theorems · Theorem · field theory
IntermediateField.isSeparable_top
∀ (F : Type u) (E : Type v) [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E], Algebra.IsSeparable F ↥⊤ ↔ Algebra.IsSeparable F E
- Defined in
- Mathlib.FieldTheory.SeparableDegree
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- Top.topstatement · cited by 9,680
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapproof · cited by 4,706
- IntermediateFieldstatement · cited by 988
- RingHom.extproof · cited by 331
- Algebra.IsSeparablestatement · cited by 210
- AlgEquiv.toRingEquivproof · cited by 137
- RingEquiv.reflproof · cited by 72
- AlgEquiv.commutesproof · cited by 49
- RingHomCompTriple.comp_eqproof · cited by 38
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.isSeparable_of_separable_splitting_fieldproof · cited by 0