normal_rel_trans

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 (c : G), forall (hab : @NormalRel.{u} G one mul inv N a b), forall (hbc : @NormalRel.{u} G one mul inv N b c), @NormalRel.{u} G one mul inv N a c

fun G => fun one => fun mul => fun inv => fun group_args => fun N => fun normal_args => fun a => fun b => fun c => fun hab => fun hbc => @eq_subst.{u} G N (mul (mul (inv a) b) (mul (inv b) c)) (mul (inv a) c) (@group_rel_trans_reassoc.{u} G one mul inv group_args a b c) (@subgroup_mul_closed.{u} G one mul inv N (@normal_subgroup_laws.{u} G one mul inv N normal_args) (mul (inv a) b) (mul (inv b) c) hab hbc)