Mathlib Map

Theorems · Definition · linear algebra

RayVector.equiv

(R : Type u_1) → (M : Type u_2) → [inst : Zero M] → RayVector R M ≃ { v // v ≠ 0 }

Equivalence between RayVector and non-zero vectors.

Defined in
Mathlib.LinearAlgebra.Ray
Cited by
6 results in Mathlib
Foundations
Depth 11 from the axioms · uses no axioms
Assumes
Zero
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

rayOfNeZero · cited by 22rayOfNeZeroModule.Ray.someVector · cited by 2Ray.someVectorRayVector.ext · cited by 1RayVector.extequiv_iff_sameRay · cited by 0equiv_iff_sameRayRayVector.coe_equiv_symm · cited by 0RayVector.coe_equiv_symmRayVector.coe_neg · cited by 0RayVector.coe_negRayVector.ext_iff · cited by 0RayVector.ext_iffModule.Ray.someVector_ray · cited by 0Ray.someVector_rayEquiv · cited by 8337EquivEquiv.refl · cited by 274Equiv.reflRayVector · cited by 7RayVectorRayVector.equivCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by8

Results whose statement or proof uses this declaration.