Theorems · Theorem · group theory
Equiv.pointReflection_involutive
∀ {G : Type u_3} {P : Type u_4} [inst : AddGroup G] [inst_1 : AddTorsor G P] (x : P),
Function.Involutive ⇑(Equiv.pointReflection x)- Defined in
- Mathlib.Algebra.Torsor.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, 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.
- DFunLike.coestatement and proof · cited by 62,936
- Equivproof · cited by 8,337
- AddGroupstatement and proof · cited by 4,410
- AddTorsorstatement and proof · cited by 1,657
- Equiv.Permstatement · cited by 1,375
- Function.Involutivestatement · cited by 103
- Equiv.eq_symm_applyproof · cited by 85
- Equiv.pointReflectionstatement and proof · cited by 35
- Equiv.pointReflection_symmproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- AffineEquiv.pointReflection_involutiveproof · cited by 1
- midpoint_pointReflection_leftproof · cited by 1
- ContinuousAffineEquiv.pointReflection_involutiveproof · cited by 0
- AffineIsometryEquiv.pointReflection_involutiveproof · cited by 0