partial commit: "reduction" component

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / reduction / crr_append.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/crr_append.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/crr_append.ma
index e0861ae55623bb4faa11666e1459abe8ef5fd8d1..36cf60341e677c2a9246d8bbdb5170e1caff7d27 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/crr_append.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/crr_append.ma
@@ -19,22 +19,22 @@ include "basic_2/reduction/crr.ma".
 
 (* Advanved properties ******************************************************)
 
-lemma crr_append_sn: ∀L,K,T. ⦃G, L⦄ ⊢ 𝐑⦃T⦄  → K @@ ⦃G, L⦄ ⊢ 𝐑⦃T⦄.
-#L #K0 #T #H elim H -L -T /2 width=1/
+lemma crr_append_sn: ∀G,L,K,T. ⦃G, L⦄ ⊢ 𝐑⦃T⦄  → ⦃G, K @@ L⦄ ⊢ 𝐑⦃T⦄.
+#G #L #K0 #T #H elim H -L -T /2 width=1/
 #L #K #V #i #HLK
 lapply (ldrop_fwd_length_lt2 … HLK) #Hi
 lapply (ldrop_O1_append_sn_le … HLK … K0) -HLK /2 width=2/ -Hi /2 width=3/
 qed.
 
-lemma trr_crr: ∀L,T. ⋆ ⊢ 𝐑⦃T⦄ → ⦃G, L⦄ ⊢ 𝐑⦃T⦄.
-#L #T #H lapply (crr_append_sn … H) //
+lemma trr_crr: ∀G,L,T. ⦃G, ⋆⦄ ⊢ 𝐑⦃T⦄ → ⦃G, L⦄ ⊢ 𝐑⦃T⦄.
+#G #L #T #H lapply (crr_append_sn … H) //
 qed.
 
 (* Advanced inversion lemmas ************************************************)
 
-fact crr_inv_labst_last_aux: ∀L1,T,W. L1 ⊢ 𝐑⦃T⦄  →
-                             ∀L2. L1 = ⋆.ⓛW @@ L2 → L2 ⊢ 𝐑⦃T⦄.
-#L1 #T #W #H elim H -L1 -T /2 width=1/ /3 width=1/
+fact crr_inv_labst_last_aux: ∀G,L1,T,W. ⦃G, L1⦄ ⊢ 𝐑⦃T⦄  →
+                             ∀L2. L1 = ⋆.ⓛW @@ L2 → ⦃G, L2⦄ ⊢ 𝐑⦃T⦄.
+#G #L1 #T #W #H elim H -L1 -T /2 width=1/ /3 width=1/
 [ #L1 #K1 #V1 #i #HLK1 #L2 #H destruct
   lapply (ldrop_fwd_length_lt2 … HLK1)
   >append_length >commutative_plus normalize in ⊢ (??% → ?); #H
@@ -49,8 +49,8 @@ fact crr_inv_labst_last_aux: ∀L1,T,W. L1 ⊢ 𝐑⦃T⦄  →
 ]
 qed.
 
-lemma crr_inv_labst_last: ∀L,T,W. ⋆.ⓛW @@ ⦃G, L⦄ ⊢ 𝐑⦃T⦄  → ⦃G, L⦄ ⊢ 𝐑⦃T⦄.
+lemma crr_inv_labst_last: ∀G,L,T,W. ⦃G, ⋆.ⓛW @@ L⦄ ⊢ 𝐑⦃T⦄  → ⦃G, L⦄ ⊢ 𝐑⦃T⦄.
 /2 width=4/ qed-.
 
-lemma crr_inv_trr: ∀T,W. ⋆.ⓛW ⊢ 𝐑⦃T⦄  → ⋆ ⊢ 𝐑⦃T⦄.
+lemma crr_inv_trr: ∀G,T,W. ⦃G, ⋆.ⓛW⦄ ⊢ 𝐑⦃T⦄  → ⦃G, ⋆⦄ ⊢ 𝐑⦃T⦄.
 /2 width=4/ qed-.