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Flocq
flocq
Commits
7afc5cc5
Commit
7afc5cc5
authored
Nov 23, 2011
by
Guillaume Melquiond
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Weaken hypothesis of le_pred_lt.
parent
b6bc4d4e
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src/Core/Fcore_ulp.v
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src/Core/Fcore_ulp.v
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7afc5cc5
...
...
@@ -918,7 +918,7 @@ apply Ropp_lt_contravar.
now
apply
Heps
.
Qed
.
Theorem
le_pred_lt
:
Theorem
le_pred_lt
_aux
:
forall
x
y
,
F
x
->
F
y
->
(
0
<
x
<
y
)
%
R
->
...
...
@@ -1033,4 +1033,19 @@ now apply Rlt_Rminus.
now
apply
Rlt_le
.
Qed
.
Theorem
le_pred_lt
:
forall
x
y
,
F
x
->
F
y
->
(
0
<
y
)
%
R
->
(
x
<
y
)
%
R
->
(
x
<=
pred
y
)
%
R
.
Proof
.
intros
x
y
Fx
Fy
Hy
Hxy
.
destruct
(
Rle_or_lt
x
0
)
as
[
Hx
|
Hx
].
apply
Rle_trans
with
(
1
:=
Hx
).
now
apply
pred_ge_0
.
apply
le_pred_lt_aux
;
try
easy
.
now
split
.
Qed
.
End
Fcore_ulp
.
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