Apuntes de clase. 1.

∈
∉
φ
= ! " # $
= ∈ % < 
&
⊂
∈
&
∈
 
=
*

∪
&
= % ∈
∪
∈ 
∩
= % ∈
∪
= " $ + , !- !"
= " # $ + , . !- !" ! 
∩
×
= 
&
×
% ∈
∩
∈ 
= # + . !" ! 
= + !"
∈ 
/
= ! " #
= 
= !  !  "  "  #  # 
)
)
∀ ∈
⇒
0
0
⇒
0
 '( )
=  
→
→
)
→
)
 =  ⇒ =
→
)
)
 =
)
∗
0

×
∈
0 1
∗
×

∗0
 ∗ ∗ = ∗ ∗  ∀
∈
∗ = ∗ ∀
∈
∃ ∈ % ∗ = ∀ ∈
∀ ∈ ∃ −! % ∗ −! =
&
∗  ∗
&
0
4(
0
×
× ∗  =  × ∗ × 
2
0
×
= ! " #
= 
0

3
∗
∗
+
0 5
×

× 0
0
×
0
∗
+
+ ×
0
 ×
 ∗ ×
× 0
0
6
 ∗
∗
∗
6
 ∗
0
 ×
 ∗ ×
0
∗
0
7
×
7
−" −! - ! " 
4 3
0
6
 ∗
2
0
0
∗
∗
0
2
 ∗ ×
×5
×
×
+
 + ×
 ×
7

× 0
+
+ ×
0
0

× 0
+ ×
0
≠-
8
(
#
,
= - #9
" = ! $!$ "!# +"
9
""
7
= - #!, !,
π = # !$! ."+ 9
(