-lemma rpx_inv_zero_length: ∀h,G,Y1,Y2. ❪G,Y1❫ ⊢ ⬈[h,#0] Y2 →
- ∨∨ ∧∧ Y1 = ⋆ & Y2 = ⋆
- | ∃∃I,L1,L2,V1,V2. ❪G,L1❫ ⊢ ⬈[h,V1] L2 &
- ❪G,L1❫ ⊢ V1 ⬈[h] V2 &
- Y1 = L1.ⓑ[I]V1 & Y2 = L2.ⓑ[I]V2
- | ∃∃I,L1,L2. |L1| = |L2| & Y1 = L1.ⓤ[I] & Y2 = L2.ⓤ[I].
+lemma rpx_inv_zero_length (G):
+ ∀Y1,Y2. ❪G,Y1❫ ⊢ ⬈[#0] Y2 →
+ ∨∨ ∧∧ Y1 = ⋆ & Y2 = ⋆
+ | ∃∃I,L1,L2,V1,V2. ❪G,L1❫ ⊢ ⬈[V1] L2 & ❪G,L1❫ ⊢ V1 ⬈ V2 & Y1 = L1.ⓑ[I]V1 & Y2 = L2.ⓑ[I]V2
+ | ∃∃I,L1,L2. |L1| = |L2| & Y1 = L1.ⓤ[I] & Y2 = L2.ⓤ[I].