theorem
proved
term proof
tree_level_partial_width_match
show as:
view Lean formalization →
formal statement (Lean)
156theorem tree_level_partial_width_match
157 (amp_RS amp_SM phaseSpace_RS phaseSpace_SM : ℝ)
158 (hamp : amp_RS = amp_SM)
159 (hps : phaseSpace_RS = phaseSpace_SM) :
160 partialWidth amp_RS phaseSpace_RS = partialWidth amp_SM phaseSpace_SM :=
proof body
Term-mode proof.
161 partialWidth_match amp_RS amp_SM phaseSpace_RS phaseSpace_SM hamp hps
162
163/-- If every channel's RS amplitude and phase space match the SM
164 counterparts, then the total widths are equal channel by channel and
165 therefore equal in sum. -/