Structures · Analysis
NormedAddTorsor
A NormedAddTorsor V P is a torsor of an additive seminormed group
action by a SeminormedAddCommGroup V on points P. We bundle the pseudometric space
structure and require the distance to be the same as results from the
norm (which in fact implies the distance yields a pseudometric space, but
bundling just the distance and using an instance for the pseudometric space
results in type class problems).
- Defined in
- Mathlib.Analysis.Normed.Group.AddTorsor
- Shape
- 2 explicit arguments · adds dist_eq_norm'
Extends1
Extended by0
Nothing extends this class yet.
Concrete types that are instances3
- ContinuousAffineMap
- Subtype
- Prod
How is a type an instance?
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Assumed by1,422
- EuclideanGeometry.oangle
- EuclideanGeometry.angle
- EuclideanGeometry.orthogonalProjection
- dist_eq_norm_vsub
- Affine.Simplex.excenter
- Affine.Simplex.ExcenterExists
- Affine.Simplex.circumcenter
- Affine.Simplex.touchpoint
- EuclideanGeometry.inversion
- AffineIsometry.toAffineMap
- signedDist
- EuclideanGeometry.Sphere.orthRadius
- EuclideanGeometry.angle_comm
- Affine.Simplex.excenterWeightsUnnorm
- Affine.Simplex.incenter
- Affine.Simplex.circumradius
- Affine.Simplex.orthogonalProjectionSpan
- Affine.Simplex.excenterWeights
- AffineIsometryEquiv.symm
- Affine.Simplex.excenterExists_empty
- Affine.Simplex.height
- AffineSubspace.perpBisector
- EuclideanGeometry.oangle_rotate_sign
- AffineIsometry.injective
- EuclideanGeometry.reflection
- EuclideanGeometry.oangle_eq_angle_of_sign_eq_one
- Affine.Triangle.orthocenter
- Affine.Simplex.altitudeFoot
- dist_eq_norm_vsub'
- Affine.Simplex.exsphere
- Affine.Simplex.mongePoint
- AffineIsometryEquiv.toAffineEquiv
- Affine.Simplex.touchpointWeights
- AffineSubspace.subtypeₐᵢ
- EuclideanGeometry.orthogonalProjection_mem
- Affine.Simplex.circumsphere
- Affine.Simplex.signedInfDist
- EuclideanGeometry.Sphere.secondInter
- Affine.Simplex.exradius
- Affine.Simplex.altitude
- AffineIsometryEquiv.pointReflection
- AffineIsometry.coe_toAffineMap
- IsometryEquiv.vaddConst
- EuclideanGeometry.vsub_orthogonalProjection_mem_direction_orthogonal
- Affine.Simplex.ninePointCircle
- Affine.Simplex.excenterExists_singleton
- EuclideanGeometry.angle_eq_pi_div_two_of_oangle_eq_pi_div_two
- EuclideanGeometry.Sphere.IsTangent
- AffineIsometry.linearIsometry
- AffineIsometry.isometry