linear_comb3

Mathlib.LinearAlgebra.VectorSpace

包

模块

定理

750

声明

1016

非可信 sidecar

源文本和展示 overlay 属于展示元数据。可信证据是签名证书和 checker 结果。

陈述

forall (Scalar : Sort u), forall (Vector : Sort v), forall (vadd : forall (x : Vector), forall (y : Vector), Vector), forall (smul : forall (a : Scalar), forall (x : Vector), Vector), forall (a : Scalar), forall (x : Vector), forall (b : Scalar), forall (y : Vector), forall (c : Scalar), forall (z : Vector), Vector

证明项

fun Scalar => fun Vector => fun vadd => fun smul => fun a => fun x => fun b => fun y => fun c => fun z => vadd (vadd (smul a x) (smul b y)) (smul c z)