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声明

median_to_hypotenuse_general

Mathlib.Geometry.RightTriangle.Abstract

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 (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 (inner : forall (x : Vector), forall (y : Vector), Scalar), forall (PointCarrier : Sort p), forall (disp_op : forall (A : PointCarrier), forall (B : PointCarrier), Vector), forall (midpoint_op : forall (A : PointCarrier), forall (B : PointCarrier), PointCarrier), forall (median_target : forall (M : PointCarrier), forall (A : PointCarrier), forall (B : PointCarrier), forall (C : PointCarrier), forall (h : @RightTriangle.{p,u,v} Scalar zero Vector inner PointCarrier disp_op A B C), forall (hm : @Eq.{p} PointCarrier M (@midpoint.{p} PointCarrier midpoint_op B C)), @Eq.{u} Scalar (@distSqPoints.{p,u,v} Scalar Vector inner PointCarrier disp_op A M) (@distSqPoints.{p,u,v} Scalar Vector inner PointCarrier disp_op B M)), forall (M : PointCarrier), forall (A : PointCarrier), forall (B : PointCarrier), forall (C : PointCarrier), forall (h : @RightTriangle.{p,u,v} Scalar zero Vector inner PointCarrier disp_op A B C), forall (hm : @Eq.{p} PointCarrier M (@midpoint.{p} PointCarrier midpoint_op B C)), @Eq.{u} Scalar (@distSqPoints.{p,u,v} Scalar Vector inner PointCarrier disp_op A M) (@distSqPoints.{p,u,v} Scalar Vector inner PointCarrier disp_op B M)

证明项

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 inner => fun PointCarrier => fun disp_op => fun midpoint_op => fun median_target => fun M => fun A => fun B => fun C => fun h => fun hm => median_target M A B C h hm

常量