Theorems · Theorem · linear algebra
cross_anticomm
∀ {R : Type u_1} [inst : CommRing R] (v w : Fin 3 → R), -(crossProduct v) w = (crossProduct w) v- Defined in
- Mathlib.LinearAlgebra.CrossProduct
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- mul_commproof · cited by 2,262
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- neg_subproof · cited by 272
- crossProductstatement · cited by 27
- Matrix.neg_consproof · cited by 6
- Matrix.neg_emptyproof · cited by 6
Cited by5
Results whose statement or proof uses this declaration.
- Projectivization.mk_eq_mk_iff_crossProduct_eq_zeroproof · cited by 5
- Projectivization.cross_commproof · cited by 1
- cross_anticomm'proof · cited by 0
- neg_crossproof · cited by 0
- dot_cross_selfproof · cited by 0