Metamath Proof Explorer


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