∀G,L,Vs. all … (RP G L) Vs →
∀T. 𝐒❪T❫ → nf RR RS G L T → C G L (ⒶVs.T).
-(* Note: this generalizes Tait's ii *)
+(* Note: this generalizes Tait's ii, or Girard's CR3 *)
definition S3 ≝ λC:candidate.
∀a,G,L,Vs,V,T,W.
C G L (ⒶVs.ⓓ[a]ⓝW.V.T) → C G L (ⒶVs.ⓐV.ⓛ[a]W.T).