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cpdt
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2c41bcee
Commit
2c41bcee
authored
Dec 01, 2008
by
Adam Chlipala
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Fix typo
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d565f371
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src/Equality.v
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2c41bcee
...
...
@@ -25,7 +25,7 @@ Set Implicit Arguments.
(
**
We
have
seen
many
examples
so
far
where
proof
goals
follow
"by computation."
That
is
,
we
apply
computational
reduction
rules
to
reduce
the
goal
to
a
normal
form
,
at
which
point
it
follows
trivially
.
Exactly
when
this
works
and
when
it
does
not
depends
on
the
details
of
Coq
'
s
%
\
textit
{%
#
<
i
>
#
definitional
equality
#
</
i
>
#
%}%.
This
is
an
untyped
binary
relation
appearing
in
the
formal
metatheory
of
CIC
.
CIC
contains
a
typing
rule
allowing
the
conclusion
$
E
:
T
$
from
the
premise
$
E
:
T
'
$
and
a
proof
that
$
T
$
and
$
T
'
$
are
definitionally
equal
.
The
[
cbv
]
tactic
will
help
us
illustrate
the
rules
of
Coq
'
s
definitional
equality
.
We
redefine
the
natural
number
predecessor
function
in
a
somewhat
convoluted
way
and
construct
a
manual
proof
that
it
returns
[
1
]
when
applied
to
[
0
]
.
*
)
The
[
cbv
]
tactic
will
help
us
illustrate
the
rules
of
Coq
'
s
definitional
equality
.
We
redefine
the
natural
number
predecessor
function
in
a
somewhat
convoluted
way
and
construct
a
manual
proof
that
it
returns
[
0
]
when
applied
to
[
1
]
.
*
)
Definition
pred
'
(
x
:
nat
)
:=
match
x
with
...
...
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