(* Basic_forward lemmas *****************************************************)
lemma nta_fwd_cnv_sn (a) (h) (G) (L):
- ∀T,U. ⦃G,L⦄ ⊢ T :[a,h] U → ⦃G,L⦄ ⊢ T ![a,h].
+ ∀T,U. ⦃G,L⦄ ⊢ T :[a,h] U → ⦃G,L⦄ ⊢ T ![a,h].
#a #h #G #L #T #U #H
elim (cnv_inv_cast … H) -H #X #_ #HT #_ #_ //
qed-.
(* Note: this is nta_fwd_correct_cnv *)
lemma nta_fwd_cnv_dx (a) (h) (G) (L):
- ∀T,U. ⦃G,L⦄ ⊢ T :[a,h] U → ⦃G,L⦄ ⊢ U ![a,h].
+ ∀T,U. ⦃G,L⦄ ⊢ T :[a,h] U → ⦃G,L⦄ ⊢ U ![a,h].
#a #h #G #L #T #U #H
elim (cnv_inv_cast … H) -H #X #HU #_ #_ #_ //
qed-.