-
-(* Basic_2A1: uses: fpbg_fleq_trans *)
-lemma fpbg_feqx_trans:
- ∀G1,G,L1,L,T1,T. ❪G1,L1,T1❫ > ❪G,L,T❫ →
- ∀G2,L2,T2. ❪G,L,T❫ ≅ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ > ❪G2,L2,T2❫.
-/3 width=5 by fpbg_fpbq_trans, fpbq_feqx/ qed-.
-
-(* Properties with t-bound rt-transition for terms **************************)
-
-lemma cpm_tneqx_cpm_fpbg (h) (G) (L):
- ∀n1,T1,T. ❪G,L❫ ⊢ T1 ➡[h,n1] T → (T1 ≅ T → ⊥) →
- ∀n2,T2. ❪G,L❫ ⊢ T ➡[h,n2] T2 → ❪G,L,T1❫ > ❪G,L,T2❫.
-/4 width=5 by fpbq_fpbs, cpm_fpbq, cpm_fpb, ex2_3_intro/ qed.