File: GENL.doc

package info (click to toggle)
hol88 2.02.19940316dfsg-5
  • links: PTS
  • area: main
  • in suites: bookworm
  • size: 65,816 kB
  • sloc: ml: 199,939; ansic: 9,666; sh: 6,913; makefile: 6,032; lisp: 2,747; yacc: 894; sed: 201; cpp: 87; awk: 5
file content (28 lines) | stat: -rw-r--r-- 757 bytes parent folder | download | duplicates (11) 
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
 
\DOC GENL

\TYPE {GENL : (term list -> thm -> thm)}

\SYNOPSIS
Generalizes zero or more variables in the conclusion of a theorem.

\KEYWORDS
rule, quantifier, universal.

\DESCRIBE
When applied to a term list {[x1;...;xn]} and a theorem {A |- t}, the inference
rule {GENL} returns the theorem {A |- !x1...xn. t}, provided none of the
variables {xi} are free in any of the assumptions. It is not necessary that
any or all of the {xi} should be free in {t}.
{
         A |- t
   ------------------  GENL "[x1;...;xn]"       [where no xi is free in A]
    A |- !x1...xn. t
}
\FAILURE
Fails unless all the terms in the list are variables, none of which are
free in the assumption list.

\SEEALSO
GEN, GEN_ALL, GEN_TAC, SPEC, SPECL, SPEC_ALL, SPEC_TAC.

\ENDDOC