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stdpp
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7ecb64e6
Commit
7ecb64e6
authored
Jul 21, 2020
by
Robbert Krebbers
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Tweak docs of tc_finite_sn.
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theories/relations.v
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...
@@ -280,8 +280,8 @@ Section properties.
...
@@ -280,8 +280,8 @@ Section properties.
Lemma
wn_step_rtc
x
y
:
wn
R
y
→
rtc
R
x
y
→
wn
R
x
.
Lemma
wn_step_rtc
x
y
:
wn
R
y
→
rtc
R
x
y
→
wn
R
x
.
Proof
.
induction
2
;
eauto
using
wn_step
.
Qed
.
Proof
.
induction
2
;
eauto
using
wn_step
.
Qed
.
(** An acyclic relation that can only take finitely many steps
is strongly
(** An acyclic relation that can only take finitely many steps
(sometimes
normalizing *)
called "globally finite") is strongly
normalizing *)
Lemma
tc_finite_sn
x
:
Irreflexive
(
tc
R
)
→
pred_finite
(
tc
R
x
)
→
sn
R
x
.
Lemma
tc_finite_sn
x
:
Irreflexive
(
tc
R
)
→
pred_finite
(
tc
R
x
)
→
sn
R
x
.
Proof
.
Proof
.
intros
Hirr
[
xs
Hfin
].
remember
(
length
xs
)
as
n
eqn
:
Hn
.
intros
Hirr
[
xs
Hfin
].
remember
(
length
xs
)
as
n
eqn
:
Hn
.
...
...
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