Database
ZF (ZERMELO-FRAENKEL) SET THEORY
ZF Set Theory - add the Axiom of Union
Equinumerosity
entr2i
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entr3i
Metamath Proof Explorer
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Unicode
Theorem
entr2i
Description:
A chained equinumerosity inference.
(Contributed by
NM
, 25-Sep-2004)
Ref
Expression
Hypotheses
entr2i.1
⊢
A
≈
B
entr2i.2
⊢
B
≈
C
Assertion
entr2i
⊢
C
≈
A
Proof
Step
Hyp
Ref
Expression
1
entr2i.1
⊢
A
≈
B
2
entr2i.2
⊢
B
≈
C
3
1
2
entri
⊢
A
≈
C
4
3
ensymi
⊢
C
≈
A