Let L and R be given.
Assume H1: SNoCutP L R.
Apply SNoCutP_SNoCut L R H1 to the current goal.
Assume H2 _.
Apply H2 to the current goal.
Assume H2 _.
Apply H2 to the current goal.
Assume H2 _.
Apply H2 to the current goal.
Assume H2 _.
An exact proof term for the current goal is H2.