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milestone update in ground_2 and basic_2A
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_2A1 / cpcs / cpcs_cpcs.etc
diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpcs/cpcs_cpcs.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpcs/cpcs_cpcs.etc
deleted file mode 100644 (file)
index 1647052..0000000
+++ /dev/null
@@ -1,14 +0,0 @@
-lemma cpcs_beta_dx: ∀a,L,V1,V2,W1,W2,T1,T2.
-                    L ⊢ V1 ⬌* V2 → L ⊢ W1 ⬌* W2 → L.ⓛW2 ⊢ T1 ⬌* T2 →
-                    L ⊢ ⓐV1.ⓛ{a}W1.T1 ⬌* ⓓ{a}ⓝW2.V2.T2.
-#a #L #V1 #V2 #W1 #W2 #T1 #T2 #HV12 #HW12 #HT12
-@(cpcs_cpr_strap1 … (ⓐV2.ⓛ{a}W2.T2)) /2 width=1/ /3 width=1/
-qed.
-
-lemma cpcs_beta_sn: ∀a,L,V1,V2,W1,W2,T1,T2.
-                    L ⊢ V1 ⬌* V2 → L ⊢ W1 ⬌* W2 → L.ⓛW1 ⊢ T1 ⬌* T2 →
-                    L ⊢ ⓐV1.ⓛ{a}W1.T1 ⬌* ⓓ{a}ⓝW2.V2.T2.
-#a #L #V1 #V2 #W1 #W2 #T1 #T2 #HV12 #HW12 #HT12
-lapply (lsubr_cpcs_trans … HT12 (L.ⓓⓝW1.V1) ?) /2 width=1/ #H2T12
-@(cpcs_cpr_strap2 … (ⓓ{a}ⓝW1.V1.T1)) /2 width=1/ -HT12 /3 width=1/
-qed.