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[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / reduction / cir_lift.ma
index 0dcd1cb815f4a9105a19f3ee0ff4355525ee4ac2..b570745d90245e7032a1f5757f63452a162c4b1b 100644 (file)
 include "basic_2/reduction/crr_lift.ma".
 include "basic_2/reduction/cir.ma".
 
-(* CONTEXT-SENSITIVE IRREDUCIBLE TERMS **************************************)
+(* IRREDUCIBLE TERMS FOR CONTEXT-SENSITIVE REDUCTION ************************)
 
 (* Properties on relocation *************************************************)
 
-lemma cir_lift: ∀K,T. K ⊢ 𝐈⦃T⦄ → ∀L,d,e. ⇩[d, e] L ≡ K →
-                ∀U. ⇧[d, e] T ≡ U → ⦃G, L⦄ ⊢ 𝐈⦃U⦄.
-/3 width=7 by crr_inv_lift/ qed.
+lemma cir_lift: ∀G,K,T. ⦃G, K⦄ ⊢ ➡ 𝐈⦃T⦄ → ∀L,s,d,e. ⇩[s, d, e] L ≡ K →
+                ∀U. ⇧[d, e] T ≡ U → ⦃G, L⦄ ⊢ ➡ 𝐈⦃U⦄.
+/3 width=8 by crr_inv_lift/ qed.
 
-lemma cir_inv_lift: ∀L,U. ⦃G, L⦄ ⊢ 𝐈⦃U⦄ → ∀K,d,e. ⇩[d, e] L ≡ K →
-                    ∀T. ⇧[d, e] T ≡ U → K ⊢ 𝐈⦃T⦄.
-/3 width=7/ qed-.
+lemma cir_inv_lift: ∀G,L,U. ⦃G, L⦄ ⊢ ➡ 𝐈⦃U⦄ → ∀K,s,d,e. ⇩[s, d, e] L ≡ K →
+                    ∀T. ⇧[d, e] T ≡ U → ⦃G, K⦄ ⊢ ➡ 𝐈⦃T⦄.
+/3 width=8 by crr_lift/ qed-.