pythagorean_distance

Mathlib.Geometry.Metric

Packages

Module

Theorem

750

Declarations

1016

信頼境界外の sidecar

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Statement

forall (A : Vec), forall (B : Vec), forall (C : Vec), forall (h : RightTriangle A B C), @Eq.{1} RingElem (sq (dist B C)) (add (sq (dist A B)) (sq (dist A C)))

Proof term

fun A => fun B => fun C => fun h => @Eq.refl.{1} RingElem (sq (dist B C))

Constants

Mathlib.Algebra.Ring.RingElem

Interface hash: sha256:29d995d6a38e44a010f577d64428b3272226781f7982e2306784cb3bdc4977ea

Mathlib.Algebra.Ring.add

Interface hash: sha256:70894d2717280dc0e45d28bdc4220a44c51506cccc224ab1f339c97d87eedd41

Mathlib.Algebra.Square.sq

Interface hash: sha256:d94d2d5ba36971c9c2e4bab1c4f7ac3097814b730120fa092c425ad81fd45deb

Mathlib.Geometry.Metric.dist

Interface hash: sha256:c347b9c90c3a22c05c9d1015de25a718c6eb51773118496c16c6552049b5f462

Mathlib.Geometry.RightTriangle.RightTriangle

Interface hash: sha256:6f588334640ef184d8be6fbdf69285b0e8c0c5af216cf2e3c9df77e058eded9b

Mathlib.Vector.Basic.Vec

Interface hash: sha256:bc9e713ccaaae78bf5ef428fe3455d47b8f8432e58b79a82bf806866b713e287

Std.Logic.Eq.Eq

Interface hash: sha256:ca4f8520fd678a809c3ebf0bc7fa38d3063ca4d231e79d567de888685449a015