Remark
WhoCites
Definitions
DiscreteMath
Sections
DiscrMathExt
Doc
IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html
(
f
and
g
are inverse functions, i.e. they cancel each other)
Who Cites inv
funs
2?
inv_funs_2
Def InvFuns(
A
;
B
;
f
;
g
) == (
x
:
A
.
g
(
f
(
x
)) =
x
) & (
y
:
B
.
f
(
g
(
y
)) =
y
)
Thm*
f
:(
A
B
),
g
:(
B
A
). InvFuns(
A
;
B
;
f
;
g
)
Prop
Syntax:
InvFuns(
A
;
B
;
f
;
g
)
has structure:
inv_funs_2(
A
;
B
;
f
;
g
)
About:
IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html
Remark
WhoCites
Definitions
DiscreteMath
Sections
DiscrMathExt
Doc
x:A. g(f(x)) = x) & (y:B. f(g(y)) = y)f:(A
B), g:(BA). InvFuns(A;B;f;g) 
Propx:A. g(f(x)) = x) & (y:B. f(g(y)) = y)f:(AB), g:(BA). InvFuns(A;B;f;g) Prop
