EuclideanGeometry.angle_vadd_const
∀ {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] (v₁ v₂ v₃ : V) (p : P),
EuclideanGeometry.angle (v₁ +ᵥ p) (v₂ +ᵥ p) (v₃ +ᵥ p) = EuclideanGeometry.angle v₁ v₂ v₃Angles are translation invariant.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 192 from the axioms · uses propext, Classical.choice, 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.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- InnerProductSpacestatement and proof · cited by 3,523
- HVAdd.hVAddstatement · cited by 1,820
- MetricSpacestatement and proof · cited by 1,684
- NormedAddTorsorstatement and proof · cited by 1,325
- EuclideanGeometry.anglestatement · cited by 187
- AffineIsometryEquiv.toAffineIsometryproof · cited by 11
- AffineIsometryEquiv.vaddConstproof · cited by 8
- AffineIsometry.angle_mapproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- EuclideanGeometry.angle_add_constproof · cited by 0