Orientation.kahler_apply_self
∀ {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 : E), (o.kahler x) x = ↑‖x‖ ^ 2- Cited by
- 2 results in Mathlib
- Foundations
- Depth 253 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 · 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
- add_zeroproof · cited by 2,707
- Module.finrankstatement and proof · cited by 1,770
- Complex.ofRealstatement and proof · cited by 1,654
Cited by2
Results whose statement or proof uses this declaration.
- Orientation.oangle_selfproof · cited by 17
- Orientation.oangle_sub_eq_oangle_sub_rev_of_norm_eqproof · cited by 4