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cpdt
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7e33bd55
Commit
7e33bd55
authored
Jan 04, 2009
by
Adam Chlipala
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Quibbly note on [eq] in first-order logic
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2766890c
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Predicates.v
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src/Predicates.v
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7e33bd55
...
...
@@ -354,7 +354,7 @@ Inductive ex (A : Type) (P : A -> Prop) : Prop :=
ex_intro
:
forall
x
:
A
,
P
x
->
ex
P
]]
*
)
(
**
[
ex
]
is
parameterized
by
the
type
[
A
]
that
we
quantify
over
,
and
by
a
predicate
[
P
]
over
[
A
]
s
.
We
prove
an
existential
by
exhibiting
some
[
x
]
of
type
[
A
]
,
along
with
a
proof
of
[
P
x
]
.
As
usual
,
there
are
tactics
that
save
us
from
worrying
about
the
low
-
level
details
most
of
the
time
.
*
)
(
**
[
ex
]
is
parameterized
by
the
type
[
A
]
that
we
quantify
over
,
and
by
a
predicate
[
P
]
over
[
A
]
s
.
We
prove
an
existential
by
exhibiting
some
[
x
]
of
type
[
A
]
,
along
with
a
proof
of
[
P
x
]
.
As
usual
,
there
are
tactics
that
save
us
from
worrying
about
the
low
-
level
details
most
of
the
time
.
We
use
the
equality
operator
[
=
]
,
which
,
depending
on
the
settings
in
which
they
learned
logic
,
different
people
will
say
either
is
or
is
not
part
of
first
-
order
logic
.
For
our
purposes
,
it
is
.
*
)
Theorem
exist1
:
exists
x
:
nat
,
x
+
1
=
2.
(
*
begin
thide
*
)
...
...
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