EuclideanGeometry.inversion_self
∀ {V : Type u_1} {P : Type u_2} [inst : NormedAddCommGroup V] [inst_1 : InnerProductSpace ℝ V] [inst_2 : MetricSpace P]
[inst_3 : NormedAddTorsor V P] (c : P) (R : ℝ), EuclideanGeometry.inversion c R c = c- Cited by
- 6 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- InnerProductSpacestatement and proof · cited by 3,523
- HVAdd.hVAddproof · cited by 1,820
- MetricSpacestatement and proof · cited by 1,684
- NormedAddTorsorstatement and proof · cited by 1,325
- smul_zeroproof · cited by 665
- zero_powproof · cited by 361
- div_zeroproof · cited by 251
- dist_selfproof · cited by 116
- zero_vaddproof · cited by 95
- vsub_selfproof · cited by 74
Cited by6
Results whose statement or proof uses this declaration.
- EuclideanGeometry.inversion_inversionproof · cited by 5
- EuclideanGeometry.dist_inversion_centerproof · cited by 5
- EuclideanGeometry.inversion_dist_centerproof · cited by 2
- EuclideanGeometry.preimage_inversion_sphere_dist_centerproof · cited by 1
- EuclideanGeometry.inversion_eq_centerproof · cited by 1
- EuclideanGeometry.inversion_mem_perpBisector_inversion_iff'proof · cited by 1