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full_subgroup

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This commit is contained in:
Ulrik Buchholtz 2016-09-08 15:02:28 -04:00
parent af0b342de8
commit aeec8cae85
1 changed files with 5 additions and 5 deletions
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10
algebra/group_basics.hlean
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@ -34,13 +34,13 @@ namespace group
definition is_trivial_subgroup (G : Group) (R : subgroup_rel G) : Prop := sorry /- Π g, R g = trivial_subgroup g -/ definition is_trivial_subgroup (G : Group) (R : subgroup_rel G) : Prop := sorry /- Π g, R g = trivial_subgroup g -/
definition full_subgroup.{u} (G : Group.{u}) : subgroup_rel.{u u} G := definition full_subgroup.{u} (G : Group.{u}) : subgroup_rel.{u 0} G :=
begin begin
fapply subgroup_rel.mk, fapply subgroup_rel.mk,
{ intro g, fapply trunctype.mk, exact g = g, exact _}, -- instead of the unit type, we take g = g, because the unit type is in Type₀ and not in Type.{u} { intro g, fapply trunctype.mk, exact unit, exact _}, -- instead of the unit type, we take g = g, because the unit type is in Type₀ and not in Type.{u}
{ esimp }, { esimp, constructor },
{ intros g h p q, esimp }, { intros g h p q, esimp, constructor },
{ intros g p, esimp } { intros g p, esimp, constructor }
end end
definition is_full_subgroup (G : Group) (R : subgroup_rel G) : Prop := sorry /- Π g, R g -/ definition is_full_subgroup (G : Group) (R : subgroup_rel G) : Prop := sorry /- Π g, R g -/