(* Note: it does not hold replacing |L1| with |L2| *)
lemma cprs_lsubs_conf: ∀L1,T1,T2. L1 ⊢ T1 ➡* T2 →
- ∀L2. L1 [0, |L1|] ≼ L2 → L2 ⊢ T1 ➡* T2.
+ ∀L2. L1 ≼ [0, |L1|] L2 → L2 ⊢ T1 ➡* T2.
/3 width=3/
qed.
qed-.
(* Basic_1: was: nf2_pr3_unfold *)
-lemma cprs_inv_cnf1: ∀L,T,U. L ⊢ T ➡* U → L ⊢ 𝐍[T] → T = U.
+lemma cprs_inv_cnf1: ∀L,T,U. L ⊢ T ➡* U → L ⊢ 𝐍⦃T⦄ → T = U.
#L #T #U #H @(cprs_ind_dx … H) -T //
#T0 #T #H1T0 #_ #IHT #H2T0
lapply (H2T0 … H1T0) -H1T0 #H destruct /2 width=1/