InnerProductGeometry.continuousAt_angle
∀ {V : Type u_1} [inst : NormedAddCommGroup V] [inst_1 : InnerProductSpace ℝ V] {x : V × V},
x.1 ≠ 0 → x.2 ≠ 0 → ContinuousAt (fun y => InnerProductGeometry.angle y.1 y.2) x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 189 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- ContinuousAtstatement · cited by 697
- Continuous.continuousAtproof · cited by 297
- InnerProductGeometry.anglestatement · cited by 170
- continuousAt_id'proof · cited by 44
- ContinuousAt.comp'proof · cited by 23
- ContinuousAt.normproof · cited by 10
- Real.continuous_arccosproof · cited by 9
- ContinuousAt.sndproof · cited by 9
- ContinuousAt.fstproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- EuclideanGeometry.continuousAt_angleproof · cited by 0