Theorems · Theorem · group theory
Equiv.pointReflection_symm
∀ {G : Type u_3} {P : Type u_4} [inst : AddGroup G] [inst_1 : AddTorsor G P] (x : P),
Equiv.symm (Equiv.pointReflection x) = Equiv.pointReflection x- 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
- AddGroupstatement and proof · cited by 4,410
- Equiv.symmstatement · cited by 3,681
- HVAdd.hVAddproof · cited by 1,820
- AddTorsorstatement and proof · cited by 1,657
- VSub.vsubproof · cited by 817
- Equiv.extproof · cited by 102
- neg_vsub_eq_vsub_revproof · cited by 87
- Equiv.pointReflectionstatement · cited by 35
Cited by2
Results whose statement or proof uses this declaration.
- Equiv.pointReflection_involutiveproof · cited by 4
- AffineEquiv.pointReflection_symmproof · cited by 2