- some renaming according to the written version of basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / multiple / fleq_fleq.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/multiple/fleq_fleq.ma b/matita/matita/contribs/lambdadelta/basic_2/multiple/fleq_fleq.ma
index 781b1f1e5c16421913d812e122be337ed1581a23..915be044e85e771961fcfa791ac2a8056dce4a1d 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/multiple/fleq_fleq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/multiple/fleq_fleq.ma
@@ -19,16 +19,16 @@ include "basic_2/multiple/fleq.ma".
 
 (* Main properties **********************************************************)
 
-theorem fleq_trans: ∀d. tri_transitive … (fleq d).
-#d #G1 #G #L1 #L #T1 #T * -G -L -T
+theorem fleq_trans: ∀l. tri_transitive … (fleq l).
+#l #G1 #G #L1 #L #T1 #T * -G -L -T
 #L #HT1 #G2 #L2 #T2 * -G2 -L2 -T2
 /3 width=3 by lleq_trans, fleq_intro/
 qed-.
 
-theorem fleq_canc_sn: ∀G,G1,G2,L,L1,L2,T,T1,T2,d.
-                      ⦃G, L, T⦄ ≡[d] ⦃G1, L1, T1⦄→ ⦃G, L, T⦄ ≡[d] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≡[d] ⦃G2, L2, T2⦄.
+theorem fleq_canc_sn: ∀G,G1,G2,L,L1,L2,T,T1,T2,l.
+                      ⦃G, L, T⦄ ≡[l] ⦃G1, L1, T1⦄→ ⦃G, L, T⦄ ≡[l] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≡[l] ⦃G2, L2, T2⦄.
 /3 width=5 by fleq_trans, fleq_sym/ qed-.
 
-theorem fleq_canc_dx: ∀G1,G2,G,L1,L2,L,T1,T2,T,d.
-                      ⦃G1, L1, T1⦄ ≡[d] ⦃G, L, T⦄ → ⦃G2, L2, T2⦄ ≡[d] ⦃G, L, T⦄ → ⦃G1, L1, T1⦄ ≡[d] ⦃G2, L2, T2⦄.
+theorem fleq_canc_dx: ∀G1,G2,G,L1,L2,L,T1,T2,T,l.
+                      ⦃G1, L1, T1⦄ ≡[l] ⦃G, L, T⦄ → ⦃G2, L2, T2⦄ ≡[l] ⦃G, L, T⦄ → ⦃G1, L1, T1⦄ ≡[l] ⦃G2, L2, T2⦄.
 /3 width=5 by fleq_trans, fleq_sym/ qed-.