Since CProp_i = Type_i everything lowered without 2 distinct Sigma.

[helm.git] / helm / software / matita / contribs / dama / dama / lebesgue.ma

diff --git a/helm/software/matita/contribs/dama/dama/lebesgue.ma b/helm/software/matita/contribs/dama/dama/lebesgue.ma
index 6daebfa0cde944051d1b03fe7d2ddd35cd415d3e..d0fcae691b5acd7fe38626411d1e70b87afd1690 100644 (file)
--- a/helm/software/matita/contribs/dama/dama/lebesgue.ma
+++ b/helm/software/matita/contribs/dama/dama/lebesgue.ma
@@ -65,10 +65,10 @@ split;
     [1: apply (le_transitive ???? (H8 0)); cases (Hyi 0); assumption
     |2: apply (le_transitive ????? (H4 0)); cases (Hxi 0); assumption]
 |2: intros 3 (h);
-    letin Xi ≝ (⌊n,mk_sigT ?? (xi n) (Hxi n)⌋);
-    letin Yi ≝ (⌊n,mk_sigT ?? (yi n) (Hyi n)⌋);
-    letin Ai ≝ (⌊n,mk_sigT ?? (a n) (H1 n)⌋);
-    apply (sandwich {[l,u]} (mk_sigT ?? x h) Xi Yi Ai); try assumption;
+    letin Xi ≝ (⌊n,≪xi n, Hxi n≫⌋);
+    letin Yi ≝ (⌊n,≪yi n, Hyi n≫⌋);
+    letin Ai ≝ (⌊n,≪a n, H1 n≫⌋);
+    apply (sandwich {[l,u]} ≪?, h≫ Xi Yi Ai); try assumption;
     [1: intro j; cases (Hxy j); cases H3; cases H4; split;
         [apply (H5 0);|apply (H7 0)]
     |2: cases (H l u Xi ≪?,h≫) (Ux Uy); apply Ux; cases Hx; split; [apply H3;]
@@ -108,10 +108,10 @@ split;
 |2: intros 3;
     lapply (uparrow_upperlocated ? xi x Hx)as Ux;
     lapply (downarrow_lowerlocated ? yi x Hy)as Uy;
-    letin Xi ≝ (⌊n,mk_sigT ?? (xi n) (Hxi n)⌋);
-    letin Yi ≝ (⌊n,mk_sigT ?? (yi n) (Hyi n)⌋);
-    letin Ai ≝ (⌊n,mk_sigT ?? (a n) (H1 n)⌋);
-    apply (sandwich {[l,u]} (mk_sigT ?? x h) Xi Yi Ai); try assumption;
+    letin Xi ≝ (⌊n,≪xi n, Hxi n≫⌋);
+    letin Yi ≝ (⌊n,≪yi n, Hyi n≫⌋);
+    letin Ai ≝ (⌊n,≪a n, H1 n≫⌋);
+    apply (sandwich {[l,u]} ≪?, h≫ Xi Yi Ai); try assumption;
     [1: intro j; cases (Hxy j); cases H3; cases H4; split;
         [apply (H5 0);|apply (H7 0)]
     |2: cases (restrict_uniform_convergence_uparrow ? S ?? (H l u) Xi x Hx);