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Flocq
flocq
Commits
cb657b10
Commit
cb657b10
authored
Apr 09, 2009
by
Guillaume Melquiond
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Removed rependency.
parent
f4328251
Changes
1
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src/Flocq_rnd_generic.v
src/Flocq_rnd_generic.v
+8
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src/Flocq_rnd_generic.v
View file @
cb657b10
...
...
@@ -643,22 +643,20 @@ Theorem generic_UP_pt_small_pos :
Rnd_UP_pt
generic_format
x
(
bpow
(
fexp
ex
)).
Proof
.
intros
x
ex
Hx
He
.
assert
(
bpow
(
fexp
ex
)
=
F2R
(
Float
beta
1
(
fexp
ex
))).
assert
(
bpow
(
fexp
ex
)
=
F2R
(
Float
beta
(
Zpower
(
radix_val
beta
)
(
fexp
ex
-
fexp
(
fexp
ex
+
1
)))
(
fexp
(
fexp
ex
+
1
)
))).
unfold
F2R
.
simpl
.
now
rewrite
Rmult_1_l
.
destruct
(
F2R_prec_normalize
beta
1
(
fexp
ex
)
(
fexp
ex
)
((
fexp
ex
+
1
)
-
fexp
(
fexp
ex
+
1
)))
as
(
m
,
H0
).
apply
Zpower_gt_1
.
rewrite
Z2R_Zpower
.
rewrite
<-
epow_add
.
apply
f_equal
.
ring
.
generalize
(
proj1
(
proj2
(
prop_exp
ex
)
He
)).
omega
.
rewrite
<-
H
.
apply
RRle_abs
.
split
.
(
*
.
*
)
rewrite
H
.
eexists
;
split
;
[
apply
H0
|
idtac
]
.
eexists
;
repeat
split
.
simpl
.
intros
H1
.
ring_simplify
.
apply
f_equal
.
apply
sym_eq
.
apply
ln_beta_unique
.
...
...
@@ -684,8 +682,8 @@ apply Rgt_not_eq.
apply
Rlt_le_trans
with
(
2
:=
Hgx
).
apply
Rlt_le_trans
with
(
2
:=
proj1
Hx
).
apply
epow_gt_0
.
specialize
(
Hg2
H
1
).
destruct
(
ln_beta
beta
(
Rabs
g
)
(
Rabs_pos_lt
g
H
1
))
as
(
eg
,
Hg3
).
specialize
(
Hg2
H
0
).
destruct
(
ln_beta
beta
(
Rabs
g
)
(
Rabs_pos_lt
g
H
0
))
as
(
eg
,
Hg3
).
simpl
in
Hg2
.
apply
Rnot_lt_le
.
intros
Hgp
.
...
...
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