Orientation.rotation_pi
∀ {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 = LinearIsometryEquiv.neg ℝRotation by π is negation.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 271 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
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
- add_zeroproof · cited by 2,707
- 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
- sub_zeroproof · cited by 938
Cited by3
Results whose statement or proof uses this declaration.
- Orientation.rotation_pi_applyproof · cited by 1
- Orientation.oangle_sub_right_smul_rotation_pi_div_twoproof · cited by 0
- Orientation.oangle_sub_left_smul_rotation_pi_div_twoproof · cited by 0