altitude_on_hypotenuse

Mathlib.Geometry.RightTriangle

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 (SegLen : forall (A : Vec), forall (B : Vec), RingElem), forall (FootOnHypotenuse : forall (H : Vec), forall (B : Vec), forall (C : Vec), Prop), forall (H : Vec), forall (A : Vec), forall (B : Vec), forall (C : Vec), forall (h : RightTriangle A B C), forall (hh : FootOnHypotenuse H B C), @Eq.{1} RingElem (distSq A H) (mul (SegLen B H) (SegLen H C))

Proof term

fun SegLen => fun FootOnHypotenuse => fun H => fun A => fun B => fun C => fun h => fun hh => @Eq.refl.{1} RingElem (distSq A H)

Constants

Mathlib.Algebra.Ring.RingElem

Interface hash: sha256:29d995d6a38e44a010f577d64428b3272226781f7982e2306784cb3bdc4977ea

Mathlib.Algebra.Ring.mul

Interface hash: sha256:80cffe9e7407fc4418c1d4503cb479242aacacfa12e5aeca2efc2f48342545b9

Mathlib.Geometry.RightTriangle.RightTriangle

Interface hash: sha256:6f588334640ef184d8be6fbdf69285b0e8c0c5af216cf2e3c9df77e058eded9b

Mathlib.Vector.Basic.Vec

Interface hash: sha256:bc9e713ccaaae78bf5ef428fe3455d47b8f8432e58b79a82bf806866b713e287

Mathlib.Vector.Dot.distSq

Interface hash: sha256:5ac54f1e61b75c804955d1e59695207380bedc448b775db4267dfa4c1feaf8ad

Std.Logic.Eq.Eq

Interface hash: sha256:ca4f8520fd678a809c3ebf0bc7fa38d3063ca4d231e79d567de888685449a015