Theorems · Definition · geometry
Orientation.rotationAux
{V : Type u_1} →
[inst : NormedAddCommGroup V] →
[inst_1 : InnerProductSpace ℝ V] →
[Fact (Module.finrank ℝ V = 2)] → Orientation ℝ V (Fin 2) → Real.Angle → V →ₗᵢ[ℝ] VAuxiliary construction to build a rotation by the oriented angle θ.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 268 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- InnerProductSpacestatement and proof · cited by 3,523
- Factstatement and proof · cited by 2,726
- Module.finrankstatement and proof · cited by 1,770
- LinearEquiv.toLinearMapproof · cited by 1,171
- LinearMap.idproof · cited by 625
- Real.Anglestatement and proof · cited by 518
- Orientationstatement and proof · cited by 360
- LinearIsometrystatement · cited by 194
- LinearIsometryEquiv.toLinearEquivproof · cited by 107
Cited by6
Results whose statement or proof uses this declaration.
- Orientation.rotationproof · cited by 62
- Orientation.rotation_piproof · cited by 3
- Orientation.rotation_zeroproof · cited by 3
- Orientation.rotation_pi_div_twoproof · cited by 1
- Orientation.rotationAux.congr_simpstatement and proof · cited by 0
- Orientation.rotationAux_applystatement · cited by 0