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cpdt
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b5ce592e
Commit
b5ce592e
authored
Nov 10, 2010
by
Adam Chlipala
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src/Equality.v
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b5ce592e
...
...
@@ -734,7 +734,7 @@ Theorem JMeq_eq' : forall (A : Type) (x y : A),
rewrite
(
UIP_refl
_
_
x0
)
;
reflexivity
.
Qed
.
(
**
We
see
that
,
in
a
very
formal
sense
,
we
are
free
to
switch
back
and
forth
between
the
two
styles
of
proofs
about
equality
proofs
.
One
style
may
be
more
convenient
than
the
other
for
some
proofs
,
but
we
can
always
intercovert
between
our
results
.
The
style
that
does
not
use
heterogeneous
equality
may
be
preferable
in
cases
where
many
results
do
not
require
the
tricks
of
this
chapter
,
since
then
the
use
of
axioms
is
avoided
altogether
for
the
simple
cases
,
and
a
wider
audience
will
be
able
to
follow
those
"simple"
proofs
.
On
the
other
hand
,
heterogeneous
equality
often
makes
for
shorter
and
more
readable
theorem
statements
.
(
**
We
see
that
,
in
a
very
formal
sense
,
we
are
free
to
switch
back
and
forth
between
the
two
styles
of
proofs
about
equality
proofs
.
One
style
may
be
more
convenient
than
the
other
for
some
proofs
,
but
we
can
always
interco
n
vert
between
our
results
.
The
style
that
does
not
use
heterogeneous
equality
may
be
preferable
in
cases
where
many
results
do
not
require
the
tricks
of
this
chapter
,
since
then
the
use
of
axioms
is
avoided
altogether
for
the
simple
cases
,
and
a
wider
audience
will
be
able
to
follow
those
"simple"
proofs
.
On
the
other
hand
,
heterogeneous
equality
often
makes
for
shorter
and
more
readable
theorem
statements
.
It
is
worth
remarking
that
it
is
possible
to
avoid
axioms
altogether
for
equalities
on
types
with
decidable
equality
.
The
[
Eqdep_dec
]
module
of
the
standard
library
contains
a
parametric
proof
of
[
UIP_refl
]
for
such
cases
.
*
)
(
*
end
thide
*
)
...
...
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