Equiv.pointReflection_midpoint_left
∀ {R : Type u_1} {V : Type u_2} {P : Type u_4} [inst : Ring R] [inst_1 : Invertible 2] [inst_2 : AddCommGroup V]
[inst_3 : Module R V] [inst_4 : AddTorsor V P] (x y : P), (Equiv.pointReflection (midpoint R x y)) x = y- Cited by
- 2 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- HVAdd.hVAddproof · cited by 1,820
- AddTorsorstatement and proof · cited by 1,657
- Equiv.Permstatement · cited by 1,375
- one_smulproof · cited by 1,374
- VSub.vsubproof · cited by 817
- Invertiblestatement and proof · cited by 549
- Invertible.invOfproof · cited by 268
- AffineMap.lineMapproof · cited by 254
Cited by2
Results whose statement or proof uses this declaration.
- EuclideanGeometry.Sphere.IsDiameter.pointReflection_center_leftproof · cited by 2
- Equiv.pointReflection_midpoint_rightproof · cited by 1