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Declaration
right_triangle_legs_perp
Mathlib.Geometry.RightTriangle.Abstract
Packages
2
Module
63
Theorem
750
Declarations
1016
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Statement
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 (A : PointCarrier), forall (B : PointCarrier), forall (C : PointCarrier), forall (h : @RightTriangle.{p,u,v} Scalar zero Vector inner PointCarrier disp_op A B C), @Perp.{u,v} Scalar zero Vector inner (@disp.{p,v} PointCarrier Vector disp_op A B) (@disp.{p,v} PointCarrier Vector disp_op A C)
Proof term
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 A => fun B => fun C => fun h => h
Constants
Mathlib.Geometry.Affine.disp
Interface hash: sha256:0cb7627a80270a6e2d271580406e4ff4a0dac01affd7c53104ccb02f5471b1e7
Mathlib.Geometry.RightTriangle.Abstract.Perp
Interface hash: sha256:e53bb46811e67dca23c7af9501843438fcb57503e56549666efea883b3922452
Mathlib.Geometry.RightTriangle.Abstract.RightTriangle
Interface hash: sha256:9a412a3f38e48886560c0451ef5e4f7a950bdde2e007409c6766c8998bede2b5