Orientation.norm_kahler
∀ {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), ‖(o.kahler x) y‖ = ‖x‖ * ‖y‖- Cited by
- 2 results in Mathlib
- Foundations
- Depth 274 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · 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
- Norm.normstatement and proof · cited by 5,413
- InnerProductSpacestatement and proof · cited by 3,523
- Factstatement and proof · cited by 2,726
- Nat.cast_zeroproof · cited by 1,870
- Module.finrankstatement and proof · cited by 1,770
- norm_nonnegproof · cited by 725
Cited by2
Results whose statement or proof uses this declaration.
- Orientation.eq_zero_or_eq_zero_of_kahler_eq_zeroproof · cited by 2
- Orientation.inner_eq_norm_mul_norm_mul_cos_oangleproof · cited by 1