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diff --git a/helm/software/matita/contribs/dama/dama/models/nat_dedekind_sigma_complete.ma b/helm/software/matita/contribs/dama/dama/models/nat_dedekind_sigma_complete.ma
index 73211e0233bfb2eb82df126cd5720d4ee0583f4f..9a43d186df269707aee4134ba69ed2dc15569923 100644 (file)
--- a/helm/software/matita/contribs/dama/dama/models/nat_dedekind_sigma_complete.ma
+++ b/helm/software/matita/contribs/dama/dama/models/nat_dedekind_sigma_complete.ma
@@ -27,7 +27,7 @@ coercion hint1 nocomposites.
    
 alias symbol "pi1" = "exT \fst".
 alias symbol "N" = "ordered set N".
-lemma nat_dedekind_sigma_complete:
+lemma increasing_supremum_stabilizes:
   ∀sg:‡ℕ.∀a:sequence {[sg]}.
    a is_increasing → 
     ∀X.X is_supremum a → ∃i.∀j.i ≤ j → \fst X = \fst (a j).
@@ -133,6 +133,6 @@ qed.
 coercion hint2 nocomposites.   
    
 alias symbol "N" = "ordered set N".
-axiom nat_dedekind_sigma_complete_r:
+axiom increasing_supremum_stabilizes_r:
   ∀s:‡ℕ.∀a:sequence {[s]}.a is_decreasing → 
     ∀x.x is_infimum a → ∃i.∀j.i ≤ j → \fst x = \fst (a j).