blob: 84d56e1497d0234491c66551e0c165af36356c23 (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
|
theory Example = Main:;
text {*
Just a few tiny examples to get an idea of how Isabelle/Isar proof documents
may look like.
*};
lemma I: "A --> A";
proof;
assume A;
show A; .;
qed;
lemma K: "A --> B --> A";
proof;
assume A;
show "B --> A";
proof;
show A; .;
qed;
qed;
text {*
This one is a good test for Proof General to cope with block-structured
proof texts. Have fun with automatic indentation!
*};
lemma S: "(A --> B --> C) --> (A --> B) --> A --> C";
proof;
assume "A --> B --> C";
show "(A --> B) --> A --> C";
proof;
assume "A --> B";
show "A --> C";
proof;
assume A;
show C;
proof (rule mp);
show "B --> C"; by (rule mp);
show B; by (rule mp);
qed;
qed;
qed;
qed;
end;
|