Orientation.rotation_pi_div_two
∀ {V : Type u_1} [inst : NormedAddCommGroup V] [inst_1 : InnerProductSpace ℝ V] [inst_2 : Fact (Module.finrank ℝ V = 2)]
(o : Orientation ℝ V (Fin 2)), o.rotation ↑(Real.pi / 2) = o.rightAngleRotationRotation by π / 2 is the "right-angle-rotation" map J.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 271 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- 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
- zero_addproof · cited by 2,366
- Real.pistatement and proof · cited by 1,774
- Module.finrankstatement and proof · cited by 1,770
- one_smulproof · cited by 1,374
- LinearEquiv.toLinearMapproof · cited by 1,171
- LinearIsometryEquivstatement · cited by 748
Cited by1
Results whose statement or proof uses this declaration.
- Orientation.inner_rotation_pi_div_two_leftproof · cited by 3