normal_rel_symm

forall (G : Sort u), forall (one : G), forall (mul : forall (a : G), forall (b : G), G), forall (inv : forall (a : G), G), forall (group_args : @GroupLawArgs.{u} G one mul inv), forall (N : forall (x : G), Prop), forall (normal_args : @NormalSubgroupLawArgs.{u} G one mul inv N), forall (a : G), forall (b : G), forall (h : @NormalRel.{u} G one mul inv N a b), @NormalRel.{u} G one mul inv N b a

fun G => fun one => fun mul => fun inv => fun group_args => fun N => fun normal_args => fun a => fun b => fun h => @eq_subst.{u} G N (inv (mul (inv a) b)) (mul (inv b) a) (@group_inv_rel_symm_reassoc.{u} G one mul inv group_args a b) (@subgroup_inv_closed.{u} G one mul inv N (@normal_subgroup_laws.{u} G one mul inv N normal_args) (mul (inv a) b) h)