Definition aspace_cap A B BeA := ASpace (@aspace_cap_subproof A B BeA).Canonical centraliser1_aspace u := ASpace (centraliser1_is_aspace u).Canonical centraliser_aspace V := ASpace (centraliser_is_aspace V).

Lemma Falgebra_FieldMixin : GRing.IntegralDomain.axiom aT -> GRing.Field.mixin_of aT.