renaming

[helm.git] / helm / software / matita / dama / metric_lattice.ma

diff --git a/helm/software/matita/dama/metric_lattice.ma b/helm/software/matita/dama/metric_lattice.ma
index fdd49fe57355f541983ef5084393a72fea2d2db6..f0242da284896e612f5774aa801bc881a9606ff8 100644 (file)
--- a/helm/software/matita/dama/metric_lattice.ma
+++ b/helm/software/matita/dama/metric_lattice.ma
@@ -32,7 +32,7 @@ qed.
 coercion cic:/matita/metric_lattice/ml_mspace.con.
 
 alias symbol "plus" = "Abelian group plus".
-alias symbol "leq" = "ordered sets less or equal than".
+alias symbol "leq" = "Excess less or equal than".
 record mlattice (R : todgroup) : Type ≝ {
   ml_carr :> mlattice_ R;
   ml_prop1: ∀a,b:ml_carr. 0 < δ a b → a # b;
@@ -87,8 +87,9 @@ intros (R ml x y z Lxy Lyz); apply le_le_eq; [apply mtineq]
 apply (le_transitive ????? (ml_prop2 ?? (y) ??)); 
 cut ( δx y+ δy z ≈ δ(y∨x) (y∨z)+ δ(y∧x) (y∧z)); [
   apply (le_rewr ??? (δx y+ δy z)); [assumption] apply le_reflexive]
-lapply (le_to_eqm ?? Lxy) as Dxm; lapply (le_to_eqm ?? Lyz) as Dym;
-lapply (le_to_eqj ?? Lxy) as Dxj; lapply (le_to_eqj ?? Lyz) as Dyj; clear Lxy Lyz;
+lapply (le_to_eqm y x Lxy) as Dxm; lapply (le_to_eqm z y Lyz) as Dym;
+lapply (le_to_eqj x y Lxy) as Dxj; lapply (le_to_eqj y z Lyz) as Dyj; clear Lxy Lyz;
+STOP
 apply (Eq≈ (δ(x∧y) y + δy z) (meq_l ????? Dxm));
 apply (Eq≈ (δ(x∧y) (y∧z) + δy z) (meq_r ????? Dym));
 apply (Eq≈ (δ(x∧y) (y∧z) + δ(y∨x) z));[