Theorems · Theorem · field theory
IsSepClosed.surjective_restrictDomain_of_isSeparable
Deprecated since 2026-07-19Use IsSepClosed.surjective_domRestrict_of_isSeparable instead.
∀ {K : Type u} (L : Type v) {M : Type w} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] [inst_3 : Field M]
[inst_4 : Algebra K M] [IsSepClosed M] {E : Type u_1} [inst_6 : Field E] [inst_7 : Algebra K E] [inst_8 : Algebra L E]
[inst_9 : IsScalarTower K L E] [Algebra.IsSeparable L E], Function.Surjective fun φ => AlgHom.domRestrict L φAlias of IsSepClosed.surjective_domRestrict_of_isSeparable.
- Defined in
- Mathlib.FieldTheory.IsSepClosed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 147 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 · cited by 11,388
- Fieldstatement · cited by 7,404
- IsScalarTowerstatement · cited by 3,896
- AlgHomstatement · cited by 3,236
- Algebra.IsSeparablestatement · cited by 210
- IsSepClosedstatement · cited by 41
- AlgHom.domRestrictstatement · cited by 11
- IsSepClosed.surjective_domRestrict_of_isSeparableproof · cited by 1
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