Orientation.areaForm_swap
∀ {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.areaForm x) y = -(o.areaForm y) x- Cited by
- 5 results in Mathlib
- Foundations
- Depth 252 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
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
- InnerProductSpacestatement and proof · cited by 3,523
- Factstatement and proof · cited by 2,726
- Module.finrankstatement and proof · cited by 1,770
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- DFunLikeproof · cited by 576
- Orientationstatement and proof · cited by 360
Cited by5
Results whose statement or proof uses this declaration.
- Orientation.inner_rightAngleRotationAux₁_rightproof · cited by 2
- Orientation.inner_mul_areaForm_sub'proof · cited by 1
- Orientation.inner_mul_inner_add_areaForm_mul_areaForm'proof · cited by 1
- Orientation.kahler_swapproof · cited by 1
- Orientation.kahler_mulproof · cited by 1