X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fhelp%2FC%2Fsec_tactics.xml;h=7647232613daff64928d14d507f7d120439f736e;hb=d2a898e8636c360713d8c9967f1de74e3e077c3f;hp=ff8d099c0180101efba481ec0f7cd16ed0308ace;hpb=be292a08ee0c8792b21105952626da05d5f645b9;p=helm.git
diff --git a/helm/software/matita/help/C/sec_tactics.xml b/helm/software/matita/help/C/sec_tactics.xml
index ff8d099c0..764723261 100644
--- a/helm/software/matita/help/C/sec_tactics.xml
+++ b/helm/software/matita/help/C/sec_tactics.xml
@@ -215,6 +215,52 @@
+
+ cases
+ cases
+
+ cases t hyps
+
+
+
+
+ Synopsis:
+
+
+ cases
+ &term; [([&id;]â¦)]
+
+
+
+
+ Pre-conditions:
+
+
+ t must inhabit an inductive type
+
+
+
+
+ Action:
+
+
+ It proceed by cases on t. The new generated
+ hypothesis in each branch are named according to
+ hyps.
+
+
+
+
+ New sequents to prove:
+
+ One new sequent for each constructor of the type of
+ t. Each sequent has a new hypothesis for
+ each argument of the constructor.
+
+
+
+
+
clear
clear
@@ -298,6 +344,58 @@
+
+ compose
+ compose
+ compose n t1 with t2 hyps
+
+
+
+ Synopsis:
+
+ compose [&nat;] &sterm; [with &sterm;] [&intros-spec;]
+
+
+
+ Pre-conditions:
+
+
+
+
+
+ Action:
+
+ Composes t1 with t2 in every possible way
+ n times introducing generated terms
+ as if intros hyps was issued.
+ If t1:âx:A.B[x] and
+ t2:âx,y:A.B[x]âB[y]âC[x,y] it generates:
+
+
+ λx,y:A.t2 x y (t1 x) : âx,y:A.B[y]âC[x,y]
+
+
+ λx,y:A.λH:B[x].t2 x y H (t1 y) : âx,y:A.B[x]âC[x,y]
+
+
+
+
+ If t2 is omitted it composes
+ t1
+ with every hypothesis that can be introduced.
+ n iterates the process.
+
+
+
+ New sequents to prove:
+
+ The same, but with more hypothesis eventually introduced
+ by the &intros-spec;.
+
+
+
+
+
change
change
@@ -450,8 +548,7 @@
decompose
decompose
- decompose (T1 ... Tn)
- H as H1 ... Hm
+ decompose as H1 ... Hm
@@ -460,10 +557,6 @@
decompose
- [(
- &id;â¦
- )]
- [&id;]
[as &id;â¦]
@@ -471,26 +564,22 @@
Pre-conditions:
-
- H must inhabit one inductive type among
-
- T1 ... Tn
-
- and the types of a predefined list.
-
+ None.
Action:
- Runs
- elim H H1 ... Hm
- , clears H and tries to run itself
- recursively on each new identifier introduced by
+ For each each premise H of type
+ T in the current context where
+ T is a non-recursive inductive type without
+ right parameters and of sort Prop or CProp, the tactic runs
+
+ elim H as H1 ... Hm
+ , clears H and runs itself
+ recursively on each new premise introduced by
elim in the opened sequents.
- If H is not provided tries this operation on
- each premise in the current context.
@@ -508,13 +597,13 @@
demodulate
demodulate
- demodulate
+ demodulate auto_params
Synopsis:
- demodulate
+ demodulate &autoparams;
@@ -1255,40 +1344,6 @@
-
- reduce
- reduce
- reduce patt
-
-
-
- Synopsis:
-
- reduce &pattern;
-
-
-
- Pre-conditions:
-
- None.
-
-
-
- Action:
-
- It replaces all the terms matched by patt
- with their βδιζ-normal form.
-
-
-
- New sequents to prove:
-
- None.
-
-
-
-
-
reflexivity
reflexivity