Section SplittingFieldTheory.
Variables (F : fieldType) (L : splittingFieldType F).
Implicit Types (U V W : {vspace L}).
Implicit Types (K M E : {subfield L}).
Fact fieldOver_splitting E : SplittingField.axiom (fieldOver_fieldExtType E).
Canonical fieldOver_splittingFieldType E :=
SplittingFieldType (subvs_of E) (fieldOver E) (fieldOver_splitting E).

Lemma kHom_to_AEnd K E f : kHom K E f -> {g : 'AEnd(L) | {in E, f =1 val g}}.