parallelogram_law

Mathlib.Vector.Dot

Packages

Module

Theorem

750

Declarations

1016

信頼境界外の sidecar

Source text や表示 overlay は提示用メタデータです。信頼する証拠は署名済み証明書と checker の結果です。

Statement

forall (u : Vec), forall (v : Vec), @Eq.{1} RingElem (add (normSq (vec_add u v)) (normSq (vec_sub u v))) (add (mul two (normSq u)) (mul two (normSq v)))

Proof term

fun u => fun v => @Eq.refl.{1} RingElem (add (normSq (vec_add u v)) (normSq (vec_sub u v)))

Constants

Mathlib.Algebra.Ring.RingElem

Interface hash: sha256:29d995d6a38e44a010f577d64428b3272226781f7982e2306784cb3bdc4977ea

Mathlib.Algebra.Ring.add

Interface hash: sha256:70894d2717280dc0e45d28bdc4220a44c51506cccc224ab1f339c97d87eedd41

Mathlib.Algebra.Ring.mul

Interface hash: sha256:80cffe9e7407fc4418c1d4503cb479242aacacfa12e5aeca2efc2f48342545b9

Mathlib.Algebra.Square.two

Interface hash: sha256:f931fa56f65ecd2ecb07571c86b95c2cbdbddcddf2e4174328af33af415996d6

Mathlib.Vector.Basic.Vec

Interface hash: sha256:bc9e713ccaaae78bf5ef428fe3455d47b8f8432e58b79a82bf806866b713e287

Mathlib.Vector.Basic.vec_add

Interface hash: sha256:24f3c880ceca68e123a5fd883a7f48e39bd3b88832ec2f579c0879e2532bad2e

Mathlib.Vector.Basic.vec_sub

Interface hash: sha256:2448bcd101acb31d3756f9617d2e06a12117058937c4514c506217480afbccad

Mathlib.Vector.Dot.normSq

Interface hash: sha256:e89a4cf0ff7a9999826538788b1513030a233e0b0176dc670e9b295817ee48e4

Std.Logic.Eq.Eq

Interface hash: sha256:ca4f8520fd678a809c3ebf0bc7fa38d3063ca4d231e79d567de888685449a015