Theorems · Theorem · group theory
Equiv.pointReflection_vsub_right
∀ {G : Type u_3} {P : Type u_4} [inst : AddGroup G] [inst_1 : AddTorsor G P] (x y : P),
(Equiv.pointReflection x) y -ᵥ y = 2 • (x -ᵥ y)- Defined in
- Mathlib.Algebra.Torsor.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddGroupstatement and proof · cited by 4,410
- AddTorsorstatement and proof · cited by 1,657
- Equiv.Permstatement · cited by 1,375
- VSub.vsubstatement and proof · cited by 817
- two_nsmulproof · cited by 67
- vadd_vsub_assocproof · cited by 40
- Equiv.pointReflectionstatement · cited by 35
Cited by2
Results whose statement or proof uses this declaration.
- dist_pointReflection_rightproof · cited by 1
- Equiv.right_vsub_pointReflectionproof · cited by 0