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Cantor–Bernstein–Schroeder Theorem
Cantor–Bernstein–Schroeder Theorem
📜
The statement of the theorem
If there exist injective functions
f
:
A
→
B
f: A \to B
f
:
A
→
B
and
g
:
B
→
A
g: B \to A
g
:
B
→
A
between sets
A
A
A
and
B
B
B
, then there exists a bijection
h
:
A
→
B
h: A \to B
h
:
A
→
B
.
Source: Wikipedia