AffineEquiv.pointReflection_fixed_iff_of_module
∀ (k : Type u_1) {P₁ : Type u_2} {V₁ : Type u_6} [inst : Ring k] [inst_1 : AddCommGroup V₁] [inst_2 : Module k V₁]
[inst_3 : AddTorsor V₁ P₁] [Invertible 2] {x y : P₁}, (AffineEquiv.pointReflection k x) y = y ↔ y = x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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
- AddTorsorstatement and proof · cited by 1,657
- Invertiblestatement and proof · cited by 549
- AffineEquivstatement · cited by 191
- AffineEquiv.pointReflectionstatement · cited by 32
- AffineEquiv.pointReflection_selfproof · cited by 5
- AffineEquiv.injective_pointReflection_left_of_moduleproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AffineIsometryEquiv.pointReflection_fixed_iffproof · cited by 1