EuclideanGeometry.inversion_zero_radius
∀ {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 x : P), EuclideanGeometry.inversion c 0 x = c- Cited by
- 2 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
- Dist.distproof · cited by 1,539
- NormedAddTorsorstatement and proof · cited by 1,325
- VSub.vsubproof · cited by 817
- zero_smulproof · cited by 716
- zero_powproof · cited by 361
- zero_divproof · cited by 222
- zero_vaddproof · cited by 95
Cited by2
Results whose statement or proof uses this declaration.
- EuclideanGeometry.inversion_eq_center'proof · cited by 1
- EuclideanGeometry.dist_inversion_mul_dist_center_eqproof · cited by 0