pith. machine review for the scientific record. sign in
theorem proved term proof

sector_dim_sum

show as:
view Lean formalization →

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

generate prose now

formal statement (Lean)

 165theorem sector_dim_sum :
 166    SpectralSector.dim .color +
 167    SpectralSector.dim .weak +
 168    SpectralSector.dim .hypercharge +
 169    SpectralSector.dim .conjugate = V 3 := by

proof body

Term-mode proof.

 170  norm_num [SpectralSector.dim, V]
 171
 172/-- **THEOREM**: The gauge sector dimensions (excluding conjugate) sum to 6.
 173    This is the dimension of the "physical" representation. -/

used by (1)

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

depends on (15)

Lean names referenced from this declaration's body.