声明
perp_iff_dot_eq_zero
Mathlib.Geometry.RightTriangle
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 (P : Prop), forall (mk : forall (forward : forall (h : Perp u v), @Eq.{1} RingElem (dot u v) zero), forall (backward : forall (h : @Eq.{1} RingElem (dot u v) zero), Perp u v), P), P证明项
fun u => fun v => fun P => fun mk => mk (fun (h : Perp u v) => h) (fun (h : @Eq.{1} RingElem (dot u v) zero) => h)常量
Mathlib.Algebra.Ring.RingElem
Interface hash: sha256:29d995d6a38e44a010f577d64428b3272226781f7982e2306784cb3bdc4977ea
Mathlib.Algebra.Ring.zero
Interface hash: sha256:acd114675ba5b92c602836fd317cdd80e63659c99ff34e05341dda09002571d5
Mathlib.Geometry.RightTriangle.Perp
Interface hash: sha256:084f8727702314dc0bc3eac7b9d6661d579ea3a57023b15d767a9e98ee4beb79
Mathlib.Vector.Basic.Vec
Interface hash: sha256:bc9e713ccaaae78bf5ef428fe3455d47b8f8432e58b79a82bf806866b713e287
Mathlib.Vector.Dot.dot
Interface hash: sha256:98e85b682ad6b2c6a8f2d8865f42ae643087bbcc15c7cfc9ea061cede03ad156
Std.Logic.Eq.Eq
Interface hash: sha256:ca4f8520fd678a809c3ebf0bc7fa38d3063ca4d231e79d567de888685449a015