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0a35ba52
Commit
0a35ba52
authored
Jan 04, 2017
by
Robbert Krebbers
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Fix more _L lemmas.
parent
cbeb20a2
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theories/prelude/collections.v
theories/prelude/collections.v
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theories/prelude/collections.v
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0a35ba52
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@@ -643,9 +643,9 @@ Section collection.
Proof
.
unfold_leibniz
;
apply
union_intersection_l
.
Qed
.
Lemma
union_intersection_r_L
X
Y
Z
:
(
X
∩
Y
)
∪
Z
=
(
X
∪
Z
)
∩
(
Y
∪
Z
).
Proof
.
unfold_leibniz
;
apply
union_intersection_r
.
Qed
.
Lemma
intersection_union_l_L
X
Y
Z
:
X
∩
(
Y
∪
Z
)
≡
(
X
∩
Y
)
∪
(
X
∩
Z
).
Lemma
intersection_union_l_L
X
Y
Z
:
X
∩
(
Y
∪
Z
)
=
(
X
∩
Y
)
∪
(
X
∩
Z
).
Proof
.
unfold_leibniz
;
apply
intersection_union_l
.
Qed
.
Lemma
intersection_union_r_L
X
Y
Z
:
(
X
∪
Y
)
∩
Z
≡
(
X
∩
Z
)
∪
(
Y
∩
Z
).
Lemma
intersection_union_r_L
X
Y
Z
:
(
X
∪
Y
)
∩
Z
=
(
X
∩
Z
)
∪
(
Y
∩
Z
).
Proof
.
unfold_leibniz
;
apply
intersection_union_r
.
Qed
.
(** Difference *)
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