theorem proved term proof

`linking_requires_D3`

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

formal statement (Lean)

 292theorem linking_requires_D3 (D : Dimension) :
 293    SupportsNontrivialLinking D → D = 3 :=

Term-mode proof.

 294  (alexander_duality_circle_linking D).mp
 295
 296/-- D = 1 does not support linking (collinear — curves cannot be disjoint). -/

From the project-wide theorem graph. These declarations reference this one in their body.

D1_no_linking in IndisputableMonolith.Foundation.DimensionForcing decl_use
D2_no_linking in IndisputableMonolith.Foundation.DimensionForcing decl_use
D4_no_linking in IndisputableMonolith.Foundation.DimensionForcing decl_use
dimension_unique in IndisputableMonolith.Foundation.DimensionForcing decl_use
high_D_no_linking in IndisputableMonolith.Foundation.DimensionForcing decl_use
linking_requires_D3 in IndisputableMonolith.Foundation.TopologicalVeto decl_use

Lean names referenced from this declaration's body.

Dimension in IndisputableMonolith.Constants.Dimensions decl_use
alexander_duality_circle_linking in IndisputableMonolith.Foundation.AlexanderDuality decl_use
Dimension in IndisputableMonolith.Foundation.DimensionForcing decl_use
SupportsNontrivialLinking in IndisputableMonolith.Foundation.DimensionForcing decl_use
linking_requires_D3 in IndisputableMonolith.Foundation.TopologicalVeto decl_use