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cpdt
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5c49bc12
Commit
5c49bc12
authored
Sep 19, 2015
by
Adam Chlipala
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src/InductiveTypes.v
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5c49bc12
...
@@ -944,7 +944,7 @@ Check nat_tree_ind.
...
@@ -944,7 +944,7 @@ Check nat_tree_ind.
There
is
no
command
like
[
Scheme
]
that
will
implement
an
improved
principle
for
us
.
In
general
,
it
takes
creativity
to
figure
out
_
good_
ways
to
incorporate
nested
uses
of
different
type
families
.
Now
that
we
know
how
to
implement
induction
principles
manually
,
we
are
in
a
position
to
apply
just
such
creativity
to
this
problem
.
There
is
no
command
like
[
Scheme
]
that
will
implement
an
improved
principle
for
us
.
In
general
,
it
takes
creativity
to
figure
out
_
good_
ways
to
incorporate
nested
uses
of
different
type
families
.
Now
that
we
know
how
to
implement
induction
principles
manually
,
we
are
in
a
position
to
apply
just
such
creativity
to
this
problem
.
Many
induction
principles
for
types
with
nested
use
d
of
[
list
]
could
benefit
from
a
unified
predicate
capturing
the
idea
that
some
property
holds
of
every
element
in
a
list
.
By
defining
this
generic
predicate
once
,
we
facilitate
reuse
of
library
theorems
about
it
.
(
Here
,
we
are
actually
duplicating
the
standard
library
'
s
[
Forall
]
predicate
,
with
a
different
implementation
,
for
didactic
purposes
.
)
*
)
Many
induction
principles
for
types
with
nested
use
s
of
[
list
]
could
benefit
from
a
unified
predicate
capturing
the
idea
that
some
property
holds
of
every
element
in
a
list
.
By
defining
this
generic
predicate
once
,
we
facilitate
reuse
of
library
theorems
about
it
.
(
Here
,
we
are
actually
duplicating
the
standard
library
'
s
[
Forall
]
predicate
,
with
a
different
implementation
,
for
didactic
purposes
.
)
*
)
Section
All
.
Section
All
.
Variable
T
:
Set
.
Variable
T
:
Set
.
...
...
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