Theorems · Theorem · linear algebra
cross_cross
∀ {R : Type u_1} [inst : CommRing R] (u v w : Fin 3 → R),
(crossProduct ((crossProduct u) v)) w = (crossProduct u) ((crossProduct v) w) - (crossProduct v) ((crossProduct u) w)- Defined in
- Mathlib.LinearAlgebra.CrossProduct
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Quot.sound
- Assumes
- CommRing
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Cites6
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
- crossProductstatement · cited by 27
- lie_lieproof · cited by 8
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