/2/ qed.
lemma cpr_tps: ∀L,T1,T2,d,e. L ⊢ T1 [d, e] ≫ T2 → L ⊢ T1 ⇒ T2.
-/3 width=5/ qed.
+/3 width=5/ qed.
lemma cpr_refl: ∀L,T. L ⊢ T ⇒ T.
/2/ qed.
#I #L #V1 #V2 #T1 #T2 * #V #HV1 #HV2 * /3 width=5/
qed.
-lemma cpr_delta: ∀L,K,V1,V2,V,i.
- ↓[0, i] L ≡ K. 𝕓{Abbr} V1 → K ⊢ V1 [0, |L| - i - 1] ≫ V2 →
- ↑[0, i + 1] V2 ≡ V → L ⊢ #i ⇒ V.
-#L #K #V1 #V2 #V #i #HLK #HV12 #HV2
-@ex2_1_intro [2: // | skip ] /3 width=8/ (**) (* /4/ is too slow *)
+lemma cpr_delta: ∀L,K,V,W,i.
+ ↓[0, i] L ≡ K. 𝕓{Abbr} V → ↑[0, i + 1] V ≡ W → L ⊢ #i ⇒ W.
+/3/
qed.
lemma cpr_cast: ∀L,V,T1,T2.