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Theorem
T000288
R
0
R_0
R
0
∧
T
0
T_0
T
0
⇒
T
1
T_1
T
1
Follows directly from the definitions. See
Wikipedia T1_space
.
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Converse
References
The converse (
T
1
T_1
T
1
⇒
R
0
R_0
R
0
∧
T
0
T_0
T
0
) follows from these theorems:
Id
If
Then
T119
T
1
T_1
T
1
T
0
T_0
T
0
T287
T
1
T_1
T
1
R
0
R_0
R
0