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
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
|
\DOC write_line
\TYPE {write_line : string -> line -> void}
\KEYWORDS
proof recording.
\LIBRARY
record_proof
\SYNOPSIS
Output a proof line to a port.
\DESCRIBE
A proof is a list of inference steps. The proof recorder records
every inference performed by the system in an internal buffer.
When a proof is completed, the raw records are converted into a list
of proof lines as in Hilbert's style proofs. These lines are then
output to a disk file. This file is in the {prf} format specified in
[1].
{write_line} is the output function for writing a proof line to a
output port. The first argument is a string representing a port. It
should be the value returned by the system function {openw}.
\FAILURE
Never fail.
\EXAMPLE
Below is an example showing the use of this function in writing the
proof lines of an extremely simple proof:
{
#let th = SPEC_ALL ADD_SYM;;
Theorem ADD_SYM autoloading from theory `arithmetic` ...
ADD_SYM = |- !m n. m + n = n + m
th = |- m + n = n + m
#let v = genvar ":num";;
"GEN%VAR%385" : term
#record_proof true;;
() : void
#let th1 = (REFL "SUC(m + n)");;
th1 = |- SUC(m + n) = SUC(m + n)
#let th2 = SUBST [th,v] "SUC(m + n) = SUC ^v" th1;;
th2 = |- SUC(m + n) = SUC(n + m)
#get_steps();;
[SubstStep([(|- m + n = n + m, "GEN%VAR%385")],
"SUC(m + n) = SUC GEN%VAR%385",
|- SUC(m + n) = SUC(m + n));
ReflStep"SUC(m + n)"]
: step list
#MakeProof it;;
[Line(-1, |- m + n = n + m, Hypothesis);
Line(1, |- SUC(m + n) = SUC(m + n), Refl"SUC(m + n)");
Line(2,
|- SUC(m + n) = SUC(n + m),
Subst([(-1, "GEN%VAR%385")], "SUC(m + n) = SUC GEN%VAR%385", 1))]
: line list
#map (write_line port) it;;
() : void
}
{port} is assumed has been connected to a file that is opened for
writing.
\COMMENTS
This function is used to implement higher level user functions for
recording proof in the library {record_proof}. It is much more
convenient to use those functions than this low level function directly.
\SEEALSO
write_thm_list, write_env,
write_proof_add_to, write_proof_to, write_last_proof,
current_proof, current_proof_file,
new_proof_file, close_proof_file, begin_proof, end_proof,
TAC_PROOF, PROVE, prove, prove_thm
\ENDDOC
|
