Orientation.kahler_ne_zero
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : InnerProductSpace ℝ E] [inst_2 : Fact (Module.finrank ℝ E = 2)]
(o : Orientation ℝ E (Fin 2)) {x y : E}, x ≠ 0 → y ≠ 0 → (o.kahler x) y ≠ 0- Cited by
- 8 results in Mathlib
- Foundations
- Depth 276 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- LinearMapstatement · cited by 10,215
- Complexstatement · cited by 5,565
- InnerProductSpacestatement and proof · cited by 3,523
- Factstatement and proof · cited by 2,726
- Module.finrankstatement and proof · cited by 1,770
- Orientationstatement and proof · cited by 360
- Orientation.kahlerstatement · cited by 39
- Orientation.eq_zero_or_eq_zero_of_kahler_eq_zeroproof · cited by 2
Cited by8
Results whose statement or proof uses this declaration.
- Orientation.oangle_addproof · cited by 5
- Orientation.oangle_neg_rightproof · cited by 5
- Orientation.oangle_neg_leftproof · cited by 4
- Orientation.oangle_rotation_leftproof · cited by 3
- Orientation.oangle_rotation_rightproof · cited by 3
- Orientation.continuousAt_oangleproof · cited by 2
- Orientation.inner_eq_norm_mul_norm_mul_cos_oangleproof · cited by 1
- Orientation.kahler_ne_zero_iffproof · cited by 0