Theorems · Theorem · linear algebra
RayVector.coe_neg
∀ {M : Type u_2} [inst : AddCommGroup M] {R : Type u_4} (v : RayVector R M),
↑((RayVector.equiv R M) (-v)) = -↑((RayVector.equiv R M) v)Negating a nonzero vector commutes with coercion to the underlying module.
- Defined in
- Mathlib.LinearAlgebra.Ray
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommGroup
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddCommGroupstatement and proof · cited by 12,871
- Equivstatement · cited by 8,337
- RayVectorstatement and proof · cited by 7
- RayVector.equivstatement · cited by 6
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