Orientation.rotation.congr_simp
∀ {V : Type u_1} [inst : NormedAddCommGroup V] [inst_1 : InnerProductSpace ℝ V] [inst_2 : Fact (Module.finrank ℝ V = 2)]
(o o_1 : Orientation ℝ V (Fin 2)), o = o_1 → ∀ (θ θ_1 : Real.Angle), θ = θ_1 → o.rotation θ = o_1.rotation θ_1- Cited by
- 6 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.
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
- 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
- LinearIsometryEquivstatement · cited by 748
- Real.Anglestatement and proof · cited by 518
- Orientationstatement and proof · cited by 360
- Orientation.rotationstatement and proof · cited by 62
Cited by6
Results whose statement or proof uses this declaration.
- Orientation.oangle_add_left_smul_rotation_pi_div_twoproof · cited by 2
- Orientation.oangle_rotation_oangle_leftproof · cited by 2
- Orientation.rotation_eq_self_iff_angle_eq_zeroproof · cited by 1
- Orientation.oangle_sub_left_smul_rotation_pi_div_twoproof · cited by 0
- Orientation.exists_linearIsometryEquiv_eq_of_det_posproof · cited by 0
- Orientation.oangle_sub_right_smul_rotation_pi_div_twoproof · cited by 0