/2 width=1 by rex_refl/ qed.
lemma reqx_pair_refl: ∀V1,V2. V1 ≛ V2 →
- ∀I,L. ∀T:term. L.ⓑ{I}V1 ≛[T] L.ⓑ{I}V2.
+ ∀I,L. ∀T:term. L.ⓑ[I]V1 ≛[T] L.ⓑ[I]V2.
/2 width=1 by rex_pair_refl/ qed.
(* Advanced inversion lemmas ************************************************)
-lemma reqx_inv_bind_void: ∀p,I,L1,L2,V,T. L1 ≛[ⓑ{p,I}V.T] L2 →
+lemma reqx_inv_bind_void: ∀p,I,L1,L2,V,T. L1 ≛[ⓑ[p,I]V.T] L2 →
L1 ≛[V] L2 ∧ L1.ⓧ ≛[T] L2.ⓧ.
/2 width=3 by rex_inv_bind_void/ qed-.
(* Advanced forward lemmas **************************************************)
lemma reqx_fwd_bind_dx_void: ∀p,I,L1,L2,V,T.
- L1 ≛[ⓑ{p,I}V.T] L2 → L1.ⓧ ≛[T] L2.ⓧ.
+ L1 ≛[ⓑ[p,I]V.T] L2 → L1.ⓧ ≛[T] L2.ⓧ.
/2 width=4 by rex_fwd_bind_dx_void/ qed-.