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Just hit the "edit" link in the upper right corner.
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(1) -> <spad>
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)abbrev category MYMON MyMonoid
MyMonoid: Category == with
1: %
_*: (%, %) -> %
rep x ==> (x@%) pretend Rep
per x ==> (x@Rep) pretend %
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)abbrev domain MYFUN MyFun
MyFun(S: SetCategory): MyMonoid with
coerce: (S -> S) -> %
coerce: % -> (S -> S)
== add
Rep ==> S -> S
coerce(f: S -> S): % == per f
coerce(x: %): S -> S == rep x
1: % == per((s: S): S +-> s)
((x: %) * (y: %)): % == per( (s: S): S +-> (rep x)(rep y)s )</spad>
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Compiling FriCAS source code from file
/var/lib/zope2.10/instance/axiom-wiki/var/LatexWiki/5443222399567089399-25px001.spad
using old system compiler.
MYMON abbreviates category MyMonoid
------------------------------------------------------------------------
initializing NRLIB MYMON for MyMonoid
compiling into NRLIB MYMON
;;; *** |MyMonoid| REDEFINED
Time: 0 SEC.
finalizing NRLIB MYMON
Processing MyMonoid for Browser database:
--->-->MyMonoid(constructor): Not documented!!!!
--->-->MyMonoid(((One) (%) constant)): Not documented!!!!
--->-->MyMonoid((* (% % %))): Not documented!!!!
--->-->MyMonoid(): Missing Description
; compiling file "/var/aw/var/LatexWiki/MYMON.NRLIB/MYMON.lsp" (written 25 NOV 2024 05:23:47 PM):
; wrote /var/aw/var/LatexWiki/MYMON.NRLIB/MYMON.fasl
; compilation finished in 0:00:00.000
------------------------------------------------------------------------
MyMonoid is now explicitly exposed in frame initial
MyMonoid will be automatically loaded when needed from
/var/aw/var/LatexWiki/MYMON.NRLIB/MYMON
MYFUN abbreviates domain MyFun
------------------------------------------------------------------------
initializing NRLIB MYFUN for MyFun
compiling into NRLIB MYFUN
processing macro definition Rep ==> S -> S
compiling exported coerce : S -> S -> %
MYFUN;coerce;M%;1 is replaced by f
Time: 0 SEC.
compiling exported coerce : % -> S -> S
MYFUN;coerce;%M;2 is replaced by x
Time: 0 SEC.
compiling exported One : () -> %
Time: 0 SEC.
compiling exported * : (%,%) -> %
Time: 0 SEC.
(time taken in buildFunctor: 0)
;;; *** |MyFun| REDEFINED
;;; *** |MyFun| REDEFINED
Time: 0 SEC.
Warnings:
[1] coerce: elt has no value
[2] *: elt has no value
Cumulative Statistics for Constructor MyFun
Time: 0 seconds
finalizing NRLIB MYFUN
Processing MyFun for Browser database:
--->-->MyFun(constructor): Not documented!!!!
--->-->MyFun((coerce (% (Mapping S S)))): Not documented!!!!
--->-->MyFun((coerce ((Mapping S S) %))): Not documented!!!!
--->-->MyFun(): Missing Description
; compiling file "/var/aw/var/LatexWiki/MYFUN.NRLIB/MYFUN.lsp" (written 25 NOV 2024 05:23:47 PM):
; wrote /var/aw/var/LatexWiki/MYFUN.NRLIB/MYFUN.fasl
; compilation finished in 0:00:00.012
------------------------------------------------------------------------
MyFun is now explicitly exposed in frame initial
MyFun will be automatically loaded when needed from
/var/aw/var/LatexWiki/MYFUN.NRLIB/MYFUN
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I ==> Integer
Type: Void
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II ==> I -> I
Type: Void
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MI ==> MyFun I
Type: Void
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inc(i: I): I == i+1
Function declaration inc : Integer -> Integer has been added to
workspace.
Type: Void
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double(i: I): I == 2*i
Function declaration double : Integer -> Integer has been added to
workspace.
Type: Void
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minc := inc :: MI
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Compiling function inc with type Integer -> Integer
LISP output:
(#<FUNCTION |*1;inc;1;initial|>)
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mdouble := double :: MI
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Compiling function double with type Integer -> Integer
LISP output:
(#<FUNCTION |*1;double;1;initial|>)
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f := (mdouble * minc) :: II
Type: (Integer -> Integer)
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g := (minc * mdouble) :: II
Type: (Integer -> Integer)
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f 1
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g 1