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Declaration
linear_id_add
Mathlib.Analysis.LinearMap
Packages
2
Module
63
Theorem
750
Declarations
1016
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Statement
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), 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))Proof term
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 x => fun y => @Eq.refl.{v} Vector (@LinearId.{u,v} Scalar zero one add neg sub mul le_rel Vector vzero vadd vneg smul norm (vadd x y))