linear_id_law_args

forall (Scalar : Sort u), forall (zero : Scalar), forall (one : Scalar), forall (add : forall (a : Scalar), forall (b : Scalar), Scalar), forall (neg : forall (a : Scalar), Scalar), forall (sub : forall (a : Scalar), forall (b : Scalar), Scalar), forall (mul : forall (a : Scalar), forall (b : Scalar), Scalar), forall (le_rel : forall (a : Scalar), forall (b : Scalar), Prop), forall (Vector : Sort v), forall (vzero : Vector), forall (vadd : forall (x : Vector), forall (y : Vector), Vector), forall (vneg : forall (x : Vector), Vector), forall (smul : forall (a : Scalar), forall (x : Vector), Vector), forall (norm : forall (x : Vector), Scalar), @LinearMapLawArgs.{u,v,v} Scalar zero one add neg sub mul le_rel Vector vzero vadd vneg smul norm Vector vzero vadd vneg smul norm (@LinearId.{u,v} Scalar zero one add neg sub mul le_rel Vector vzero vadd vneg smul norm)

fun Scalar => fun zero => fun one => fun add => fun neg => fun sub => fun mul => fun le_rel => fun Vector => fun vzero => fun vadd => fun vneg => fun smul => fun norm => fun (P : Prop) => fun (mk : forall (map_zero_law : @Eq.{v} Vector (@LinearId.{u,v} Scalar zero one add neg sub mul le_rel Vector vzero vadd vneg smul norm vzero) vzero), forall (map_add_law : forall (x : Vector), forall (y : Vector), @Eq.{v} Vector (@LinearId.{u,v} Scalar zero one add neg sub mul le_rel Vector vzero vadd vneg smul norm (vadd x y)) (vadd (@LinearId.{u,v} Scalar zero one add neg sub mul le_rel Vector vzero vadd vneg smul norm x) (@LinearId.{u,v} Scalar zero one add neg sub mul le_rel Vector vzero vadd vneg smul norm y))), forall (map_neg_law : forall (x : Vector), @Eq.{v} Vector (@LinearId.{u,v} Scalar zero one add neg sub mul le_rel Vector vzero vadd vneg smul norm (vneg x)) (vneg (@LinearId.{u,v} Scalar zero one add neg sub mul le_rel Vector vzero vadd vneg smul norm x))), forall (map_smul_law : forall (a : Scalar), forall (x : Vector), @Eq.{v} Vector (@LinearId.{u,v} Scalar zero one add neg sub mul le_rel Vector vzero vadd vneg smul norm (smul a x)) (smul a (@LinearId.{u,v} Scalar zero one add neg sub mul le_rel Vector vzero vadd vneg smul norm x))), P) => mk (@Eq.refl.{v} Vector vzero) (fun (x : Vector) => fun (y : Vector) => @Eq.refl.{v} Vector (vadd x y)) (fun (x : Vector) => @Eq.refl.{v} Vector (vneg x)) (fun (a : Scalar) => fun (x : Vector) => @Eq.refl.{v} Vector (smul a x))