Finite Field
30 秒诊断
返回 NPA

声明

dot_sub_left

Mathlib.Vector.Dot

包

2

模块

63

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 (u : Vec), forall (v : Vec), forall (w : Vec), @Eq.{1} RingElem (dot (vec_sub u v) w) (sub (dot u w) (dot v w))

证明项

fun u => fun v => fun w => @Eq.refl.{1} RingElem (dot (vec_sub u v) w)

常量

Mathlib.Algebra.Ring.RingElem

Interface hash: sha256:29d995d6a38e44a010f577d64428b3272226781f7982e2306784cb3bdc4977ea

Mathlib.Algebra.Ring.sub

Interface hash: sha256:610fd9b8433ec50fafc78815af652d67661140efa647c079515bd92537e1fbb7

Mathlib.Vector.Basic.Vec

Interface hash: sha256:bc9e713ccaaae78bf5ef428fe3455d47b8f8432e58b79a82bf806866b713e287

Mathlib.Vector.Basic.vec_sub

Interface hash: sha256:2448bcd101acb31d3756f9617d2e06a12117058937c4514c506217480afbccad

Mathlib.Vector.Dot.dot

Interface hash: sha256:98e85b682ad6b2c6a8f2d8865f42ae643087bbcc15c7cfc9ea061cede03ad156

Std.Logic.Eq.Eq

Interface hash: sha256:ca4f8520fd678a809c3ebf0bc7fa38d3063ca4d231e79d567de888685449a015