Database
ZF (ZERMELO-FRAENKEL) SET THEORY
ZF Set Theory - add the Axiom of Union
Function transposition
tposex
Next ⟩
nftpos
Metamath Proof Explorer
Ascii
Unicode
Theorem
tposex
Description:
A transposition is a set.
(Contributed by
Mario Carneiro
, 10-Sep-2015)
Ref
Expression
Hypothesis
tposex.1
⊢
F
∈
V
Assertion
tposex
⊢
tpos
F
∈
V
Proof
Step
Hyp
Ref
Expression
1
tposex.1
⊢
F
∈
V
2
tposexg
⊢
F
∈
V
→
tpos
F
∈
V
3
1
2
ax-mp
⊢
tpos
F
∈
V