X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fstyle%2Fmmlextension.xsl;h=eb928b41f183b9f8685525b2898a883ed642a766;hb=e4ea08104e12e2d9e546f37e2d4fbb4febe75d29;hp=a4dfc5f01e7210c6ecc3aca3246cbe4b322c23fb;hpb=ce56bfc29034be5add28ef28007f2598d9030ad2;p=helm.git
diff --git a/helm/style/mmlextension.xsl b/helm/style/mmlextension.xsl
index a4dfc5f01..eb928b41f 100644
--- a/helm/style/mmlextension.xsl
+++ b/helm/style/mmlextension.xsl
@@ -44,6 +44,8 @@ which generates the toplevel element (see for instance xlink) -->
+
+
@@ -371,21 +373,27 @@ which generates the toplevel element (see for instance xlink) -->
-
- :
+
+
+ :
+
+
+
-
- :
-
+
+
+ :
+
+
@@ -403,10 +411,12 @@ which generates the toplevel element (see for instance xlink) -->
-
+
+
+
@@ -414,7 +424,7 @@ which generates the toplevel element (see for instance xlink) -->
-
+ ∀
@@ -430,7 +440,7 @@ which generates the toplevel element (see for instance xlink) -->
-
+ ∀
:
@@ -439,6 +449,7 @@ which generates the toplevel element (see for instance xlink) -->
+
@@ -484,6 +495,7 @@ which generates the toplevel element (see for instance xlink) -->
+
@@ -516,6 +528,7 @@ which generates the toplevel element (see for instance xlink) -->
+
@@ -592,6 +605,7 @@ which generates the toplevel element (see for instance xlink) -->
+
@@ -634,6 +648,7 @@ which generates the toplevel element (see for instance xlink) -->
+
@@ -672,15 +687,19 @@ which generates the toplevel element (see for instance xlink) -->
+
Prop
+
Set
+
Type
+
@@ -719,8 +738,8 @@ which generates the toplevel element (see for instance xlink) -->
-
-
+
+
@@ -733,10 +752,10 @@ which generates the toplevel element (see for instance xlink) -->
_
-
+
⇒
-
+
@@ -747,7 +766,7 @@ which generates the toplevel element (see for instance xlink) -->
|_
⇒
-
+
@@ -769,21 +788,22 @@ which generates the toplevel element (see for instance xlink) -->
_
OF
-
+
|
-
+
⇒
-
+
_
END
+
@@ -873,6 +893,7 @@ which generates the toplevel element (see for instance xlink) -->
+
@@ -965,7 +986,33 @@ which generates the toplevel element (see for instance xlink) -->
+
+
+
+
+
+
+
+
+
+
+ We can prove
+ _
+
+
+ _
+ (explain)
+
+
+
+
+
+
+
@@ -977,14 +1024,24 @@ which generates the toplevel element (see for instance xlink) -->
- we proved
+ we proved
_
+
+
+ _
+
+
+ (hide details)
+
+
+
+
@@ -1003,6 +1060,140 @@ which generates the toplevel element (see for instance xlink) -->
+
+
+
+
+
+ We prove
+ _
+
+
+
+
+
+
+
+ by induction on
+ _
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ Case
+ _
+
+
+
+
+
+
+
+ _
+
+
+
+
+
+ By induction hypothesis, we have:
+
+
+
+
+
+
+ _
+
+ (
+
+ )
+ _
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ (
+
+
+ _
+
+ :
+
+
+ )
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ Contradiction.
+
+
+
+
+
+
@@ -1024,12 +1215,14 @@ which generates the toplevel element (see for instance xlink) -->
+
(
)
+
@@ -1090,6 +1283,7 @@ which generates the toplevel element (see for instance xlink) -->
-->
+
@@ -1102,7 +1296,7 @@ which generates the toplevel element (see for instance xlink) -->
- Then apply it to
+ Then apply it to
_
@@ -1110,34 +1304,65 @@ which generates the toplevel element (see for instance xlink) -->
-
-
+
+
- By induction
+
+
+
+
+
+
+ Consider
+ _
+
+
+
+
- base case:
-
+ In particular, we have
- inductive case:
+ (
+ )
+ _
+
+
+
+
+
+
+
+ (
+
+ )
+ _
+
+
+
+
+
+
+
+
-
-
+
+
@@ -1158,41 +1383,56 @@ which generates the toplevel element (see for instance xlink) -->
- In particular, we have
+ We proceed by cases to prove
+ _
+
- (
-
- )
+ Left: suppose
_
-
-
+ (
+
+ )
+ _
+
+
- (
-
- )
_
-
-
+
+
-
+ Right: suppose
+ _
+ (
+
+ )
+ _
+
+
+
+
+
+
+
+
+
@@ -1214,18 +1454,18 @@ which generates the toplevel element (see for instance xlink) -->
- We prove
+ We prove
_
_
- by cases:
+ by cases:
- *
+ Left
@@ -1233,13 +1473,14 @@ which generates the toplevel element (see for instance xlink) -->
- *
+ Right
+
@@ -1267,7 +1508,7 @@ which generates the toplevel element (see for instance xlink) -->
:
_
- such that
+ such that
_
(
@@ -1286,8 +1527,134 @@ which generates the toplevel element (see for instance xlink) -->
+
+
+
+
+
+
+
+ [
+
+
+
+
+ ←
+
+ ]
+
+
+
+
+
+
+
+ ↑
+
+
+
+ (
+
+ )
+
+
+
+
+
+
+
+
+ ↑
+
+
+
+
+ (
+
+ )
+
+
+
+
+
+
+
+
+
+ →
+ β
+
+
+
+
+
+
+
+
+
+
+ →
+ β
+ *
+
+
+
+
+
+
+
+
+
+
+ ⇒
+ β
+
+
+
+
+
+
+
+
+
+
+ ⇒
+ β
+ *
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ ≅
+
+
+
+
+
+
+
+
+
+
+
+
+
- ERROR
+ ERROR
@@ -1318,7 +1685,7 @@ which generates the toplevel element (see for instance xlink) -->
- we get
+ we get
_
@@ -1336,7 +1703,7 @@ which generates the toplevel element (see for instance xlink) -->
- we get
+ we get
_
@@ -1352,7 +1719,12 @@ which generates the toplevel element (see for instance xlink) -->
-
+
+
+
+
+
+
@@ -1399,7 +1771,7 @@ which generates the toplevel element (see for instance xlink) -->
-
+
@@ -1417,7 +1789,12 @@ which generates the toplevel element (see for instance xlink) -->
__
- =
+
+
+
+
+
+ =
@@ -1446,43 +1823,43 @@ which generates the toplevel element (see for instance xlink) -->
-
+
-
+
-
+
-
+
-
+
-
+
-
+
-
+
-
+
-
+
-
+
-
+
-
+
@@ -1492,7 +1869,7 @@ which generates the toplevel element (see for instance xlink) -->
-
+
@@ -1510,9 +1887,12 @@ which generates the toplevel element (see for instance xlink) -->
__
-
-
-
+
+
+
+
+
+
@@ -1536,9 +1916,12 @@ which generates the toplevel element (see for instance xlink) -->
-
-
-
+
+
+
+
+
+ ∅
@@ -1552,7 +1935,12 @@ which generates the toplevel element (see for instance xlink) -->
- {
+
+
+
+
+
+ {
@@ -1569,7 +1957,12 @@ which generates the toplevel element (see for instance xlink) -->
- }
+
+
+
+
+
+ }
@@ -1580,7 +1973,12 @@ which generates the toplevel element (see for instance xlink) -->
- {
+
+
+
+
+
+ {
,
@@ -1604,7 +2002,12 @@ which generates the toplevel element (see for instance xlink) -->
- }
+
+
+
+
+
+ }
@@ -1631,11 +2034,6 @@ which generates the toplevel element (see for instance xlink) -->
-
-
-
-
-
@@ -1718,6 +2116,3 @@ which generates the toplevel element (see for instance xlink) -->
-
-
-